🧠 Can You Spot the Mistake? Fun Math Puzzle: Does 0 = 1? 🎉

[@patrickjmt]

Lol, i can't believe this silly video has almost 8 million views. What do you think?! Thanks Leo, indeed.

[@ddodd69]

Own heart. 2 weeks and now reply!

[@Buubshe]

With Trump thumbnail 😂

[@Vinickw]

it's easy, the error is in the final, √x² isn't equal to x, it's equal to |x|, so: |4 - 9/2| = |5 - 9/2| |-1/2| = |1/2| 1/2 = 1/2

[@aburoziin2554]

Why

[@Vinickw]

*FAQ* _Why?_ Let's take (-5)² = 5², that's right, because it's equal to 25, so let's square root the 2 sides: √(-5)² = √5² the square root cancel the square -5 = 5 it is wrong, because a negative number isn't equal to a positive number, so, we need to take the absolute value |-5| = |5| 5 = 5 now it's right, so √x² = |x| _There's no x, he only used numbers_ x is any number, it doesn't mean that there's no x on the proof I can't explain the mistake with an x, I used it to make a generic case. _What means |x|?_ It's the absolute value, the absolute value of a number is the non-negative value of a number, so |3| = 3, but |-8| = 8. In the case |-1/2| = 1/2 and |-1/2| = 1/2. _You can't square root a negative number_ Yes, in the real set isn't possible to square root a negative number, but he didn't square root a negative number, he square root the square of a negative number, and the square of a number is positive, so it is possible to square root. Example: √-3² = √9 = 3 But if you square root before squaring it, you'll need the imaginary number, because there's no answer to it in real set. Example: (√-9)² = (3i)² = -9 _Why take the absolute value?_ Let's take a number x (that x ∈ ℝ), if we square it, x² won't be negative and taking the square root, √x² won't be negative too, because the square root of a non-negative number, will be non-negative; so √x² = |x| because x can be negative, but √x² no. Example: √-3² = √9 = 3 Observation: √x² is |x| just because the square is inside the square root, (√x)² is x Example: (√-9)² = (3i)² = -9 _Can't I just say √x² = √y² then x = ±y?_ No, becaus it means that x = y and x = -y, buth need to be true, and it is only true if x = y = 0, but you can say x = y or x = -y. _Why should I use the absolute value? Can't I just square it and then take the square root?_ Of course, you can do it, but people normally don't do √2² = √4 = 2, they normally do √2² = 2, but it isn't always true, like √-2² = -2, we can check it by doing √-2² = √4 = 2, it is just to make it easier and faster, it is pretty useful in big number, look: √-28955² = |-28955| = 28955 _日本語で何か_ ごめん、日本語を勉強していますが、まだわかりにくいです、だから我はあなたを助けることはできません。 *Edits:* 30 January 2021: Really thank you all, it was just a simple comment that I've made in 2019, I've never thought that it would be the most liked comment in this video, it has already 400 replies, it means that there are just 100 replies left until the maximum. 1 February 2021: It already passed from 20k likes, at moment it is 22k, thank you all so much. 8 February 2021: We reach 495 replies (it was some days ago, but whatever), the limit normally is 500, but it is giving an unknown error when trying to make a reply, I don't know why it happens, but it is normal in comments near to 500 replies.

[@marklee5765]

That’s absolutely correct

[@franco7091]

So we're using the modulus. I never thought of that. Thank you. God bless!!!!

[@477_sy.it.babhishektiwari4]

Totally correct buddy

[@nariblane909]

Well, to all of you wandering why, this being recommended 9 years later is actually accurate since 9=0. So KZbin did just fine.

[@sosaalexis48]

Ahhh... so thats how the algorythm works. Yeah, makes sense

[@aizen8308]

Lol😂

[@utj9559]

Ya

[@nitiyahselvan796]

Same after 9 years youtube recommend

[@mehdibelouard745]

Hhhh so a lot of things can be found again

[@ozymandia3212]

a^2=b^2 does not mean a=b... It might be a=-b

[@joaquinbottazzini4383]

Exactly

[@hassanalelyani5493]

Agree

[@mohitvalsangkar2778]

Yup

[@annawolf812]

Exactly: a^2 = b^2 => | a | = | b |

[@ozymandia3212]

@@annawolf812 that's it

[@joshas.7817]

" So how much does this cost?" " It's one dollar, sir" "Let me show you something"

[@himaasana]

just saying... you can prove 0 = [any number] as long as they dont realize there is a mistake in the equation. *time to buy a car for 0 dollar*

[@schrodinger7994]

OP😂😂

[@kamil2094]

Underrated

[@maxgeorge1463]

somehow this entire comment section still doesnt understand the reference after 2 years

[@youknowwho8925]

Everyone: discussing the question Me: he is left handed

[@heretosay2006]

That’s what I was looking at

[@lifeofphyraprun7601]

I noticed it,but rather late.

[@trunghungpham9414]

God he might have flipped the video horizontally man...

[@youknowwho8925]

@@trunghungpham9414 then the words will also be laterally inverted

[@Sriniket]

Same here

[@rudranshsharma7064]

Multiply both sides by zero and everything will be normal again :)

[@samarthchincholkar37]

You owe me a like man I just completed your 180 likes

[@rudranshsharma7064]

@@samarthchincholkar37 There ya go

[@lalalhmar6118]

No. It will be " 0^2= 0". Lol..

[@قبل14سنة-ع4و]

Boom done ma nigga

[@rukhsanakamal2136]

Why is mozart making jokes on youtube

[@AbangProGT]

person : dies this guy : let me show you how youre alive

[@hora2615]

if 0 is no and 1 is yes (negative and positive) so.. dead person: alive = 0 but 0 = 1 so dead person: alive = 1

[@jyotipal7612]

🤣🤣🤣🤣🤣🤣👍🏻

[@patricktentacles5783]

666 likes lmao

[@TitusBoone]

Lol

[@krychlik]

@@hora2615 If 1 is alive and 0 is not alive and 1=0 it means that everybody is dead and alive at one time.

[@yanisttc]

His doctor: "You only have 1 year to live" This guy: *Proves that 40 = 1*

[@noakim5676]

That's a good one

[@matthias7534]

if 0=1 and you want 40=1 you just: 0=1 /*39 0=39 /+1 1=40 done

[@toppersclashing9550]

Two mistakes No1: why was this is my recommendation 9 yrs later No2: a^2=b^2 means a =+-b not a=b

[@samk0htq]

yeah why 9 years later?

[@saraabdelmaxood315]

Brilliant

[@parthshrivastava2743]

Dude from which nation you are? I think India as such names are kept by Indians mostly like me

[@mukeshm8639]

You said the answer For a^2=b Not a^2=b^2 I think May be

[@joaopedroalves1200]

@@mukeshm8639 No, a² = b can be solved as a = ±√b

[@mestar_xex]

KZbin : recommend this video Me : it's from 8 years KZbin : let me explain 8 years = 1day

[@cat1800]

8 = 1 8-7=1-7 8-1=7-7 8-1=0 So 8 years = 1 day Your welcome and sorry maths.

[@cat1800]

@Junaid it was just a joke ...

[@carterkucala4595]

4 - 9/2 is - 1/2 and 5 - 9/2=1/2. Square roots are dangerous and can lead to extraneous solutions! The mistake is when it is rooted. It has to be + -

[@carterkucala4595]

What the heck! Why is my comment crossed out?!

[@patrickjmt]

beats me. what did you do?

[@NikaTark]

just write minus symbol like - h - without space and will be -h-

[@carterkucala4595]

fixed! thanks

[@tanish9381]

Nika Tark -yy-

[@meterwalon4020]

"Can you spot the mistake?" "Uh... 0=1?"

[@urmumhuge5556]

Intelligence 100

[@shadypotatochip1035]

Math 101

[@aaronlui8477]

Calculus 102

[@mundane3809]

IQ 104

[@Ruxdie]

E.I 105

[@yohanlobo4767]

4th step from bottom is wrong. Because: let's consider -5²=5² But -5≠5 that means when x²=y² that doesn't means x=y *Hence 0≠1*

[@RohitSharma-nl5vw]

Brilliant

[@nickspringer5755]

-5^2 != (-5)^2

[@moyare7057]

I assumed he squared both side to get rid rid of the squares

[@CanibalJr]

@@moyare7057 sqrt-5^2 = |-5| =5

[@malekchlibi1294]

X2=y2 means that x=y or x=-y

[@t07minas]

U prove this very easy in Germany: One beer is none beer.

[@x-d6772]

In Russia, one vodka is none vodka :)

[@ourtvshow6399]

Ein Bier ist kein Bier!

[@nothuman6140]

"none beer" because the last time i checked...that makes sense

[@Incognito-rb4tz]

@@x-d6772 our vodka*

[@fabrice-leonstrzodka770]

@@x-d6772 why tf I’m reading this with a Russian accent in my mind

[@kappro1517]

I don't even care that it's wrong, I'm just honestly satisfied as to how nicely the equation becomes two different perfect squares on each side.

[@tishloves]

Just curious, what grade are you in? Or maybe you have completed school. Anyway, they taught us this at school while teaching the quadratic formula. This is called completing the square and is used to derive the quadratic formula among other things.

[@kappro1517]

@@tishloves I know the technique, but what I'm trying to say is how adding the same number on both sides allows for both sides to factorise into perfect squares so nicely is so satisfying.

[@tishloves]

@@kappro1517 oh, yes it is.

[@omkarnagarhalli5217]

@@kappro1517 yeah that's because 4-9/2=-(5-9/2) in other words, it's because 9/2 is the mean of 4 and 5, it should work with any three numbers a, b and c such that (a-c)²=(b-c)² and c=(a+b)/2, in which case you'd have added c² on both sides to complete the squares on both sides

[@jagrutivispute7600]

You've to see there that two is multiplied and divided with middle term but two should be multiplied with all the terms. Check at 1:37

[@metaltyre4894]

10% comments telling what's the wrong step The rest: wHy iS tHiS recOmMendeD aFter 9 yeArS

[@vagelisoikonomou6082]

Truee

[@gyorgyst5086]

Ooops I didnt notice this Lol

[@venturer9400]

Which is really stupid because this video has not been made irrelevant by its age. It's like asking why we learn theorems made by ancient mathematicians - they're 2500 years old, but far from irrelevant

[@Doumauppermoon]

Did u find the mistake ??

[@metaltyre4894]

@@Doumauppermoon yes I did at 3:11 he didn't applied modulus function so the solution would have gone like this |4-9/2| = |5-9/2| |-1/2| = |1/2| Which gives 1/2 = 1/2

[@Saadirfann]

Cashier: and your total is 735.31$ This guy: gives him 1 cent Cashier: *stares* Him: You need proof?? Give me a pen and paper

[@viswaskrottapalli]

Very under rated !!

[@alex2005z]

Pulls out gun: here you have proof

[@Elkelbash]

You actually can..just minus both numbers with 735.31 You will have it as: -735.30 = 0 Divide both by 735.30 It will equal: -1 = 0 So you actually need 1 cent from the cashier Jk don't do that 🤣 Maybe... 🌚

[@Saadirfann]

@@Elkelbash let's try it next time👍

[@Saadirfann]

@@ИриенАльс have you tried it?

[@kryptoxx1003]

*Well I guess that I understand the -20 is equal to -20*

[@greekgodpubg386]

Haha

[@abhijitchikane]

😀😀

[@WhatTheWeb]

Kryptoxx this man right here partakes in mathematics

[@eyamezghanni3028]

😂😂 The thing is x²=y² doesn't mean that x=y unless x=y=0, try it with 0 then try it with any other numbee and you'll see

[@kryptoxx1003]

@@antonioglavas796 no u

[@shadowbreaker6027]

I just noticed that when you're left handed you don't see what you're writing

[@danielbodon14]

Yeah, and that's very annoying. Just trust me.

[@flachlappen]

They could just write from right to left.

[@egor9966]

I just noticed he's left handed after ur comment. Btw, I'm left handed too.

[@piotrekk7785]

Masz jakiś problem do leworęcznych?

[@bruhhh5631]

Leworęczni są najlepsi, mamy lepszy refleks podobno

[@MdSalim-ul8kl]

People in this comment box: 10% mathematicians 90% comedians

[@kochikaran4154]

Ur country ❓️

[@utkarshjain861]

Bro, every step is wrong, after he introduces root to both sides

[@nik_semperlotti1062]

Missing the absolute value after doing the root of the negative member.

[@rituchandra6325]

x^2+y^2 implies x = ± y and both of them arent necessarily true, in this case, 4-9/2 = -(5-9/2) 4 - 9/2 = -5+9/2 9 = 9.

[@waewaxhk5102]

-(4-(9/2))=(5-(9/2)) also gives the same result

[@rituchandra6325]

@@waewaxhk5102 yes, x^2 = y^2 => x = ±y =>±x = y both r right

[@hilight1322]

That right but how did you do 4-9/2=-5+9/2 9=9 Can I tell me I just don't know. Sry with honor

[@rituchandra6325]

@@hilight1322 x^2 = y^2 implies x = ±y and its not necessary that both the plus and minus cases r true. for eg if x^2 = 25 x = ±5 (either 5 or -5 since both squared give 25 only) so x = (both) 5 and -5. but if we have something like (5-10)^2 = 25 (thats -5) and i say oh lets take the square root! then clearly it will give us an absurd result 5-10 = 5 -5 = 5. BUT we dont do that, we say (5-10) = ±5 and then we say °.° -5 = 5 is absurd, it is must not true .°. -5 = -5 when we put ± sign, we mean that either + canbe true or - will be true or both might be true

[@hilight1322]

@@rituchandra6325 I know that but I don't know why is Gamora? Sry wrong why is 9???

[@arminfish7394]

no one: me: watches math videos for fun instead of actually doing math

[@insearchofsomethingspecial465]

If u think maths is joke to hace fun. then, u r not a science student.

[@cdemr]

Saaame 😭

[@anthonyguzman8358]

@@insearchofsomethingspecial465 good job on taking the joke seriously

[@rukhsanakamal2136]

Yes who the hell actually understands maths from math videos

[@Assassin_Bear]

kat likes lettuce tbh who watches math videos without having fun?

[@nofy7819]

Him:isn't this correct The whole comment section : yesn't

[@YuezhiTribe]

😂

[@rarealliance3215]

A worthy competition to Schrödinger's theory "Yesn't"

[@abdullahumar6003]

Here's one for y'all : study=no fail......(1) no study=fail......(2) Adding (1) and (2) study + no study = no fail + fail study + no study = fail + no fail study(1+no) = fail(1+no) Canceling (1+no) on b/s study = fail ( EDIT ) : WOW!! 229 likes!

[@vitiated1733]

Abdullah Umar right... then no study=no fail cuz Xno in both sides

[@abdullahumar6003]

@@vitiated1733 you're absolutely right!

[@realdeal5712]

It funniest as a joke but it barely make any sense. In the first place u imply *Study=No fail* Next line should be *study/no=fail* Because otherwise the equation is wrong in the first place, u cant have the same word with different value. Otherwise Study is never equal to itself. And that is incorrect. Yes as a joke its funny. Mathematically wrong. Sorry bad english

[@realdeal5712]

Like *a=bc* You cant just *ab=c* Cause value of C is not ab. It is a/b. Better example: *8=4×2* Then 4×8 is not equal to 2. It is 8/4

[@Sriram-iz6qn]

Real deal.first understood that he took it as two different equations. If we study , then there'll be no fail. If we don't study , then there'll be fail.

[@ok64234]

Also: (-1)^2 = (1)^2 and it does NOT implies that: -1=1 .... the mistake is there ! ... (4-9/2) should be equal -(5-9/2) then: 0 = 0 ... and life come back to normal :) Math is perfect !

[@fitt6591]

Carlos IV yes he wrong there

[@aljadepalaran9458]

Squaring a negative will give a positive, (-1)^2 gives you 1, it will not change the answer

[@quiziix-us]

what he is saying is that if you were to square root that before squaring it it would give the appearance of -1 = 1

[@gasperjuhart4586]

GG man

[@huntervaught4737]

What you're trying to say is you need to add plus or minus symbol after a square root is taken

[@marwan_M1]

Who else got this in their recommended 9 years later 😂

[@ReingerstGaming]

Me

[@souradeepsarkar7009]

Me

[@kyriakhzoukou]

yep that's me

[@danielhughes29]

Ahhaha facts

[@shree-nf3fp]

Me😂

[@victormahintharaj2749]

KZbin : let's recommend this video to everyone after 9 years.

[@aliahmed-xf1kf]

true 😹

[@syedadil8970]

Omg same lol

[@edakorkmaz423]

It's true 😂

[@cowcorner589]

I guess it’s pretty cool KZbin allows old videos to come back

[@jayantkumarpriyadarshee8698]

Yes I even get this today

[@voers450]

The real mistake is why is this in my recommended after 8 years

[@nigahaya1653]

Bro me its 9years

[@indian-kx5ru]

Whats the problem then

[@alexdovistinos3987]

my situation is even worse

[@מאורעולי]

Yeah

[@iamsomeone8561]

Me 9

[@mirkwood6012]

This guy: 0 = 1 Computers:

[@מאורעולי]

lol

[@livelyapple7015]

Hehehe

[@gyannigam7499]

op bro

[@JAIME_P.C.I]

i was about to give you a like but then i saw your like count was on 101 so..

[@blauwbeer556]

Where is the punchline?

[@orkhanbag]

sin X = 5+1n six = 6

[@avocadios6120]

nah even as a joke it’s wrong since you can’t divide n from both sides cause 5 doesnt have an n multiplied

[@avocadios6120]

M.nalatgn Fnaf it’s a middle school

[@avocadios6120]

ThatSmartKid AtSchool sin is short for sinus, which is a term of trigonometry

[@avocadios6120]

A Dude ooh sorry we learn maths in turkish terms and sinx is read as sinus x here

[@iminsideyourwalls9432]

Byg brainb time

[@mukhammadaliochilov1493]

The point is that when you calculate the square root of both sides, you take modules so 4-9/2 becomes 9/2-4 and 9=9.

[@smalin]

-1/2 * -1/2 = 1/2 * 1/2, but that doesn't mean -1/2 = 1/2

[@akselai]

love your music animation videos! :)

[@jeaneus1873]

I have no idea who you are but you have a checkmark so you must be important

[@alknvural2614]

You find 1/2=1/2 according to first one you said

[@me5050]

Thats true because -1/2× -1/2 = 1/4 and 1/2×1/2 =1/4

[@theexplorer9012]

Exactly!

[@lesliedellow1533]

(-1/2)^2 = (1/2)^2, perfectly true. However, that does not entitle you to conclude that -1/2 = 1/2.

[@mynameis214365]

4-9/2=-1/2 5-9/2=1/2 When you say: "(4-9/2)^2=(5-9/2)^2, therefore 4-9/2=5-9/2," you are essentially saying: "(-1/2)^2=(1/2)^2, therefore -1/2=1/2," which is false.

[@girlbossalex8065]

He’s done the classic high school math mistake of forgetting the plus or minus in the solutions of a square

[@alvinstjohn8363]

Just as bad as forgetting the +C when you integrate smh

[@ziadgaser2012]

@@alvinstjohn8363 was the biggest mistake for any high school student over here

[@hrvoje5061]

He didin't forget he did it on purpose so people can try to find the mistake.

[@workout9594]

TheMilkshakeGamer Absoute value mistake rather than a plus minus, I'm guessing you are referring to x^2=4 x+-2

[@DodgyFN]

Alvin Stjohn the c is the last number being the constant right? im taking precalc and i tried learning derivatives and integrals based off this youtube video and idk if they talked about c...

[@ivanljujic4128]

4th to last line should be |4-9/2|=|5-9/2| So the it continues like |8/2-9/2|=|10/2-9/2| |-1/2|=|1/2| 1/2=1/2

[@donrob7779]

Ivan Ljujic I think you hit it right on the money, I remember my calc professor always emphasizing the importance of +/- the square root being a possible answer when solving for x, and I remember losing points for forgetting absolute values

[@ccheryYT]

Makes sense, but then again I'm just taking Algebra so idek if that's right. XD

[@etnamode9823]

Yup that's got to be it. great eyes, I didn't notice that at first

[@ivanmasmejor4452]

(x-x)^2 always has positive value

[@galaxynote4hafid405]

Yes but the (x-x) could be negative or positive and the result is the same so (3-2)²=(2-3)²=1 but 3-2>2-3 ... hence |3-2|=|2-3|

[@alinaeashal4885]

Me: "Teacher, how many questions did i get right?" Teacher: "0" Me: "Let me show you something"

[@covertconnect]

LOL

[@deltadude7417]

I am triggered by how this says “read more”

[@ada_31]

Delta Dude ME TOO LMAO

[@yaobeduin9800]

XDDDDDDDDDDDDD

[@sujankc762]

You still failed!!

[@kavinesh_the_legend]

In the last step (4-9/2)²=(5-9/2)² If we consider the LHS and RHS as (a-b)² and then we simplify it ,we will get LHS and RHS as 0 and 18 respectively.

[@oyuk4618]

So basically 2 plus 2 is 4 and then when you take away 1 that would be the total of 3, quick mafs

[@s4mmy371]

Its should be 4, because number 4 doesnt have number 1 in it

[@ChooeyTophe23]

Lyrics of a song bro hahaha. T "2 plus 2 is four minus 1 thats 3 quick maths "

[@aiman_hah]

I love you dude, that's genious

[@swizzlemc00]

Every day man's on the block

[@MicahGreaney]

Smoke trees...

[@patrickjmt]

Please subscribe while you are here! It is strange to me that KZbin is suddenly promoting this video as it was just a random 'fun video' I made a long time ago and is certainly not anything special. Most of my videos are practical tutorials that will hopefully help people pass their classes! Subscriptions are the currency of KZbin, so even if you are not a huge fan of this video, it helps me make those practical videos that everyone benefits from. Thanks so much! And... if you like this video please let me know. I have tons of 'puzzle' problems that I can post!

[@swisha5246]

It's a really nice video, I'd like to see more :P And I think that goes without saying considering how much it is blowing up (of course because of KZbin advertising, but also the people interested in solving it :D).

[@patrickjmt]

yea, but this video has been out for over 5 years :) I don't understand why it is gaining traction now.

[@emilantonov8171]

excuse me I'm gonna go kill myself

[@078574776910]

Ok, it's a good idea but the last step when you take the squared root for both sides you have to take the (+)&(_) possibilities then you return to the first step and 1=1 .

[@HuntzL]

Ahmad Shehab, nicely spotted, also just like some polynomial equations, not all of the solutions work

[@__ayuush4716]

Who’s here in 2019 which is 8 years after this video was made

[@plaina4628]

Me

[@rimiii890]

Me

[@zaclegoattack]

Dang

[@krzysztofkwak3684]

Uh

[@lucianmclaughlin4602]

lmao i am

[@pandachong7942]

“Let’s break this up into 16 - 36. Certainly you still get *punching into calculator* -20 there...”

[@mrdeepwebinsider2197]

Ya.. we dont want our life to be difficult..🙂

[@wpplus442]

I found it! The mistake is starting the problem in the first place.

[@charlie-mz5hp]

😂😂😂

[@vickybhattacharya5574]

Modar jat

[@obsoou9144]

The best definition ever...lol all the problem start from that mistakes too...lol

[@75xiilu32]

Wp Plus U Must Be Right😂

[@faizs9676]

Yes that's a trival solution

[@SoumilSahu]

the mistake is at 3:06, since the square root of x squared is |x|

[@zackfrost7568]

well played man :D

[@animeshsahu5943]

Sorry but your answer is wrong. Because rooting both side = same

[@animeshsahu5943]

√ x^2 = √ y^2 x = y similarly, this is solved

[@Dew-b8b]

Animesh Sahu nt

[@UncleMerlin]

he even gave a clue at the end.. the square

[@oracle7858]

Don’t read if you haven’t solved it yet On the 8th line, he simply square roots both sides of the equation from the 7th line. (4 - 9/2) ² = (5 - 9/2) ² DOES NOT simplify down to 4 - 9/2 = 5 - 9/2. If you are solving for a variable and reach a square root, then the square root of a positive number is ±, not just the positive value. Good job if you found it 👍 EDIT: For example, (-1) ² = (1) ², but I can’t just square root both sides and say -1 = 1.

[@bowenliu0434]

Oracle this is right answer :) others are all bullshit

[@volitionant9682]

Oracle This is the only correct explanation I’ve seen thus far.

[@abdullahmughal9546]

By taking both sides square root he cancel it

[@jasonlim2481]

Oracle d

[@srijandasgupta6256]

No he is not dividing nos. ....he is just doing SQUARE ROOT ON BOTH SIDES. ...U UNDERSTAND

[@ANTI_UTTP_FOR_REAL]

The mistake is at the end. You cant just cancel the squares without putting an absolute value sign |x| because the x can also be negative: x^2=+-x

[@jinbyun6556]

Fundamental Mathematics: A^2 = B^2 can mean two different possibilities: A=B or A= -B This means that A^2 = B^2 does not imply that A=B Fun experiment thanks! :)

[@randyorton999]

He took square root on both the sides

[@yashyelmame1460]

@@randyorton999 so ummm taking squareroot you should also take mod on both sides if you realise, LHS is negetive and RHS is positive hence this proof is wrong

[@eddiefied9677]

(4-4.5)^2 = (5-4.5)^2 (-1/2)^2 = (1/2)^2 1/4 = 1/4 Subract 1/4 from both sides 0=0 Add 1 to only one side because I say so. 0=1. Don’t see the problem here.

[@berkerbasaran8225]

@@eddiefied9677 nope -1/2=1/2 :D

[@underfilho]

@@berkerbasaran8225 (-1/2)² = -1/4? okay..... -1/2 * -1/2 = (-1)1/2*(-1)1/2 = (-1)(-1) * 1/2 * 1/2 = 1 * 1/4 = 1/4

[@nikimatty16]

x^2 = y^2 => x = y or x = -y .... in this case have to do x= -y... => (4-4.5)^2 = (5 - 4.5)^2 => (4-4.5) = - (5-4.5) => 4-4.5 = -5 + 4.5 => 4+5 = 4.5 + 4.5 => 9 = 9 this should be the way... your goal was to get the wrong answer so u intentionally did wrong math...

[@gab229]

Well yeah it says "can you spot the mistake"

[@stephanbauer6869]

Yes thats right

[@sakariashansenandersen23]

0.25

[@samszydelko4586]

Its not right as he has treated the 4.5 as 4.5. In the video he used a dot to represent x. Therefore this would go back to 20 not 9. Close but no cigar.

[@roirunner1357]

He devided by 0

[@someaccount3438]

When two things are equal to each other squared, that doesn't mean that these things are equal to each other. Imagine this: -1 ^ 2 = 1 ^ 2 but -1 != 1

[@zsolttildy5742]

RandomGuy well if you square root both sides then they do equal each other?

[@someaccount3438]

zsolt tildy If I have x = y, then I can safely conclude that x ^ 2 = y ^ 2. But if I have x ^ 2 = y ^ 2, from that alone I can't conclude that x = y.

[@zsolttildy5742]

RandomGuy because it could be negatives?

[@someaccount3438]

zsolt tildy Yes. From x^2 = y^2 we can only say that |x| = |y|.

[@SHFTR.]

RandomGuy or he's just an idiot who can't take 34 from 16 which would give you 18

[@linhcao3152]

The video: Can you spot the mistake? Me: Let go straight to the comment and see how they spot and solve it!

[@Bibbedibob]

(-0.5)^2 = (0.5)^2, but that is not mean that: -0.5 = 0.5

[@skseway7313]

No because minus times two is plus

[@FGCounter1]

Just what I wanted to point out.

[@htmlguy88]

but they are equal under the absolute value operator.

[@gloweye]

Should have noted down the line he did this, which is : (4-(9/2))^2 = (5-(9/2))^2, reducing to your (-0.5)^2 = (0.5)^2. Makes it easier for the next guy to see. That said, these are all kinda the same. The easiers ones divide by zero, many of the harder ones don't account for the two solutions of a square root (or the n solutions a n-power root can have, to be more general. It's not that hard to write one of those in a higher root.)

[@gloweye]

Origami, here got it from wikipedia for you: en.wikipedia.org/wiki/Nth_root cube root of 8 for example has 2, (2e^((2/3)*pi*i))^3, and (2e^((4/3)*pi*i))^3. try putting them in google calculator, for example.

[@cks2020693]

The mistake is really simple, when you cancel out the power of 2 on both sides, you have to add absolute brackets |x| on both sides, and you would notice 4-9/2 and 5-9/2 has the same value but one positive and one negative

[@vipasvyas2726]

Andy Fu right man

[@ashwinbalakrishnan7962]

Yes. That's it.

[@michaelwoodruff5752]

Hhhmmmneeeeh... mmmyeeeeeeessss.

[@ckckdud3]

great job

[@bluthunder840]

Ehhh not so sure. Say you have an equation: x - 5 = y - 5 Now add 5 to both sides: x = y No absolute value bars are needed. Im not adding the x and the -5 together, I'm simply rewriting the equation as to cancel out a term. He's doing the same thing with the 4 and -9/2. However, the real mistake is actually a false understanding about how to deal with parenthesis and exponents. In Pre-Algebra/Algebra you learn about a handy word called PEMDAS. Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction. PEMDAS is the Order of Operations used to solve algebraic expressions such as (4-9/2)^2 = (5-9/2)^2 By PEMDAS, P comes first, hence you simplify what is inside of the parenthesis first. By evaluating the exponents first, you are breaking the laws of Algebra! Note: If instead the equation read (x-9/2)^2 = (y-9/2)^2, then evaluation of the exponents would be a completely legal step in the world of Algebra.

[@alial-mofadda9582]

Same as saying: 2^0 = 9^0 1=1 Therefore 2=9

[@alephnull4044]

Yep. Not all functions are injective!

[@carlylapham22]

If you had 2 apples and your friend had 9 apples. Your friend would have more apples. Therefore 2 cannot be equal to 9. It’s simply impossible.😂

[@Manicanian]

@@carlylapham22 I can have more apples if each of mine were the size of 5. His mistake was algebric not philosophical math 😂

[@alial-mofadda9582]

@@Manicanian Exactly 👌

[@hwinter3347]

Like saying 5×0=0 and 9×0=0. There for 5=9

[@marcelowagnervieira7870]

Hello ya all! You should see, the part when you wrote in both sides of the equal signal the term (81/4). You are completing squares! That makes you add a spurious solution, which is 0=1. The equation is not linear anymore, but It's second degree! In the final part, when you take the square root on both sides of the equation, we should have (4-9/2)=±(5-9/2). Taking the minus signal leads to: 4-9/2=-5+9/2. Then, we have: 4+5=9/2+9/2. Therefore, 9=9, the right answer.

[@jbones2426]

Thank you for making this response, it is super legit. I knew there was something funky with 81/4 (maybe a parenthesis issue?, etc.), however your response deserves official praise.

[@JBatesProductions]

nice one, when i saw him start factoring stuff and then taking the root i thought the fact that you get two solutions per sq rt would be why

[@mihaigrigoruta6809]

√x^2=|x| So after (4-9/2)^2=(5-9/2)^2 comes |-0.5|=|0.5|, which means that 0.5=0.5, which is indeed true.

[@johnthegamerman404]

Why does the square root of x squared equal the absolute value of x and not just x?

[@takureido3122]

john the gamer man because (-5)^2=(5)^2 If you take the square root of both you find that ^2 and the sqrt cancel so 5=-5 but if you first do the power it's sqrt((-5)^2)= sqrt(5^2) so sqrt 25 = sqrt 25.

[@sdm000]

you forgot to call big shaq

[@cl4ptr4p_exe64]

Preseted GT quik mafs

[@allytaylor2367]

Preseted GT I

[@orngng]

Preseted GT big shaq wasn’t such a thing in 2011.

[@sdm000]

becoz he kno da wae

[@mehmetdev5942]

2+2 is 4 , minus 1 that is tree, quick maths ...

[@rohitmahadik3830]

No one: KZbin after 8 years:Recommend it🙂

[@abdelkarimdebbah9512]

Me too lol

[@adenosinatrifosfato1100]

Same

[@mildcholester6741]

And after 5 months still

[@marklee5765]

Mild Cholester lol true

[@1a2b3c4d5g6h7e]

Same

[@partha8476]

Mistake [ 03:06 ] :- removing the square without taking mod of them .

[@mujtabahussain9031]

(-0.5)^2 = (0.5)^2 does not imply that 0.5= -0.5

[@suborgulag7289]

Mujtaba Hussain (-0.5)^2=(-0.5)*(-0.5)=0.25=0.5*0.5

[@kyuma401]

Baby Bleach (0.5)^2 can be simplified to +_sqrt(0.5)^2 and hence there are two outcomes. -0.5 and 0.5

[@mujtabahussain9031]

I'm don't think this is an expression that needs further simplification tbh, depends whether you think the modulus function is more simple than squaring. It's not like there is some variable you are trying to express as a single number.

[@Cuzynot132]

〉〉Kuri[MU]〈〈 Learn your 10 grade maths lol, (-0.5)^2 and (0.5)^2 always equal to 0.25

[@SuRFaceGoD]

Mujtaba Hussain correct

[@wiktorialatos1157]

Me: makes one tiny mistake in the calculation The solution:

[@stargazer8g2]

So true actually

[@Bob13454]

This is so annoying and I do it all the time.

[@azabiphetamine]

*_0 = 1_*

[@stargazer8g2]

@@li5516 oh man why this comments are so true?

[@Dekross]

Actually what u day is true, the ONLY error here is cancelling the squares, it can happen to anybody with nerves in an exam.

[@MrTit-ey8cx]

Proof: 2 x 0 = 1 × 0 *Divide by 0* 2 = 1

[@felpex1495]

Lmao xDDD

[@franciscotorresbta]

It is indeterminated ;D

[@healthlifestyle5645]

When you divide a number by 0, there’s no single answer. To divide is to break something into piles of a certain size. And breaking something into piles of size zero just doesn’t make sense.

[@matthewgivens6455]

U can’t div by zero

[@ILagable]

bro you cant joke about that on youtube. people on here are dumbasses they'll think you're serious

[@michaeltanner2666]

Mistake: square rooting gives two values, positive and negative. For example the root of 4 is both +2 (2x2=4) and -2 (-2x-2= 4). We can rewrite (4-9/2)^2 as (-0.5)^2 and (5-9/2)^2 as 0.5^2, both of which square to 1/4. This square roots (obviously) to +-1/2, so you have +-1/2 = +-1/2

[@InsideEarth_ORIGINAL]

This was the real comment I was looking for. Btw, in which grade do you study in?

[@michaeltanner2666]

@@InsideEarth_ORIGINAL I am in year 11 (uk). Wbu?

[@InsideEarth_ORIGINAL]

@@michaeltanner2666 Well, I am too in the 11th year and live in the UK. What about the city you live in? And the institution you study in (if you don't mind saying)?

[@SC-hi6tp]

@@InsideEarth_ORIGINAL weirdo lmao aint no year 11 uk student typing like that

[@Juli-zy4ew]

That's wrong, the principal value if a square root is always positive. The correct explanaty is that √x² is defined as |x| (absolute value). If the square roots would have to values then a lot of problems will occur.

[@shaswatkumar362]

Well you didn't take modulus on having square root on both sides. |4-4.5| = |5-4.5| |-0.5| = |0.5| 0.5 = 0.5 Hence the above video is wrong. Proved.

[@gemini6981]

But, |-0.5| = |0.5| 0.5 = 0.5 not true, where is the minus? It has a difference of 1

[@shaswatkumar362]

@@gemini6981 It's modulus. |X| = X , X>0 |X| = -X , X

[@premikadevi865]

@@shaswatkumar362sahi h...

[@คนโฆษิตวานิชย์]

Shaswat Kumar genius! Thanks for prove

[@harinirajesh3838]

@@gemini6981 I call it an absolute value though. I've never heard of the term modulus.

[@lindystinson6917]

if x^2 =y^2 this doesn't mean that x=y it can also be x = -y

[@dhya60]

Lindy Stinson it means simply that |x|=|y|

[@ritikchahar883]

Lindy Stinson, even if we consider a negative sign, be it x=y or x=-y, we get LHS as either 4 or -1/2. similarly, RHS as 5 or 1/2. Which again leads to 0=1

[@dheerajrana7276]

Ritik Chahar if we do x=(-y) then we get 9=9 ,😢 your maths is so poor man so poor🙏

[@ritikchahar883]

dheeraj rana , I guess there was something like "if" in my comment. maybe ur English is just so poor😢

[@dheerajrana7276]

Ritik Chahar 😁lol ho gaya mere Saath 😂 🤔 but still your comment is confusing.

[@jellygames6197]

When will this be patched?

[@wrongfulhermit]

S o o n

[@kentrellwhittingham3751]

@@wrongfulhermit ™

[@KeyFreak2301]

Gonna cite playerunknown here: „we’re working on it“

[@darjansprajc6926]

JellyGames they said in the next update i belive

[@hsksjdisis]

You play boom beach?

[@Tushar.25]

It's my maths pre board tomorrow.... and here I am sitting on the sofa watching how 0 =1. Best of luck to myself for my exam...

[@shivamchouhan5077]

All the best for exam

[@saralmargiupatsombya4504]

If you had written this... Would've been the prisident next morning!😂😂

[@TheAkramCat]

found the mistake 0 ≠ 1 boom roasted.

[@peabrainiac6370]

lol

[@radiostation6366]

The Akram Cat tbh it would have been funnier if you had just said boom. Just to be more concise. Good joke though.

[@Tom19142]

Ahahah

[@realdeal5712]

Akram Bayoud this prove u are an idiot. pls dont come at me with that im joking. u clearly dont get the point of the video. too stupid to spot the error. u roast ur own intelligent.

[@yamato3294]

@@realdeal5712 "you roasted your own intelligent" oh man looks like someone failed English

[@ninadachrekar7215]

I tried to solve this too and ended up getting answer 'South Africa' and by looking at the comment section i can see where my dignity is

[@cheetolord4008]

😂

[@psyk0l0ge]

isn't the mistake in the begining ? he wrote 16-34 = 25-45 what ist wrong because 16-34 = -18 while 25-45= -20 so he wrote -18=-20 ...

[@linusb2002]

Psyk0l0ge He wrote 16-36.

[@biboub2609]

Psyk0l0ge i though the same but that's a 36

[@AhsimNreiziev]

WAAY late, I know. But still.... Here's the answer: *4 - (9/2) =* *4 - 4.5 =* *(-0.5)* Meanwhile *5 - (9/2) =* *5 - 4.5 =* *0.5* Now, of course, it _is_ true that *(0.5 ^ 2) = ((-0.5) ^ 2)* as in the video, but that _in no way_ implies that *0.5 = (-0.5)* Which is where the flaw in the "proof" lies. This is why it's important to say that if *(x ^ 2) = (y ^ 2)* then *x = ± y* instead of simply *x = y*

[@shishkbb]

Oh yeah makes total sense

[@physics1663]

Ahsim Nreiziev 👍👍👍👍 #Salute

[@chaitanyakumar8180]

Makes sense...👍👍

[@carloscantu8547]

Ahsim Nreiziev finally someone who knows math 👍

[@grammarnazi1868]

So that means 0 = ±1 ?

[@robertoleal2487]

x ^ 2 = y ^ 2 -> x = y is wrong. x = + - y is right. Cause: x = + - square root (y^2) -> x = + - y So: (4 - 4,5) ^ 2 = (5 - 4,5) ^ 2 -> 4 - 4,5 = + - (5 - 4,5) sol 1: 4 - 4,5 = + (5 - 4,5) -> 4 = 5 (paradox) sol 2: 4 - 4,5 = - (5 - 4,5) -> 4 - 4,5 = -5 + 4,5 -> 4 + 5 = 4,5 + 4,5 -> 9 = 9 (is only correct solution). Thus, the solution you chose in the video is paradoxical. Whenever there're expressions of potentiation on one side and the other on the =, be very careful to remove such potencies.

[@awesomevideosonyoutube]

you ended up with 0=1, so obviously you've done something wrong

[@mechikaboombayah4960]

Hahahaha So true!

[@ninaddongare6514]

Definitely he's admitting he has done some wrong and thats what challenge is. We gotta find what he has done wrong!

[@Narabedla4]

@@ninaddongare6514 r/whoosh

[@chaitanyagandhi8178]

@@ninaddongare6514 dude thats sarcasm don't take it serious man!

[@ninaddongare6514]

$hit! I am very bad at it. 😂

[@vedanttiwari4782]

4-9/2= - .5 and 5-9\2= .5 BUT two different nos but thier squares will be same because a^2=b^2 is noy always equal to a=b it also means a can be -b as in this case TRUST ME IAM AN ASIAN..!

[@ankushchandel1726]

last line though :)

[@BarbikaPahor]

i dont trust you. i trust my self.

[@AtharvaCM]

BarbikaPahor lel

[@6EQUJ5.]

Roses are red Violets are blue There's always an asian Better than you. Actually They're not better than anyone in maths.who created maths in the first place was arabic :p. Asians are better at gaming and technologies-related stuff.

[@6EQUJ5.]

Albert E.D i approximately lost about 4,685,848,261 brain cells trying to understand your comment.

[@jankiec2382]

If 0 = 1, i have a girlfriend.

[@zoltandobrocsi2784]

jan kiec You made my day, bro!':D

[@johnnyliu1297]

nice one lol

[@princessfluffybottom1933]

Said KHa Please explain to me.

[@edgarriscobardales747]

jan kiec jajaja really?

[@nyikofumani7010]

jan kiec me too man😂😂

[@ryanstells]

Math professor: "You got a 0 on the test." Me:

[@fikritaufiqurrahman3258]

The problem is, why (4-9/2)² =4-9/2, (4-9/2)²=1/2 4-9/2=-1/2 do you learn absolute value? Do you know about X²≠0 or 1 or negative number(

[@fayekwache9807]

X = -1, -1^2 = 1 boom

[@yeheskieltarigan]

yeah, he forgot about absolute value

[@ytberorwhot558]

Taking root on b/s cancels square with root. No?

[@GeniusRascal]

no. 1^2 = -1^2, but that doesn't mean square root both sides cancels the square. sqrt (1) = +/- 1... not just 1..

[@davidfusion391]

Fikri Taufiqurrahman haha you're right

[@tricesimo]

So if you believe that, you can give me one $100 bill, and I can give you 0 $100 bills in return, and we'll be even.

[@lukeblake4835]

Sweet fam

[@talkgb]

Since the (4 - 9/2)^2 = (5 - 9/2)^2 has an exponent of 2, there is another solution. The solution is that 4 - 9/2 = -(5 - 9/2), which is the case.

[@achmaddzulfiqor9084]

Nobody : This man : why choose an easy way if there's a difficult one?

[@karim47161]

Easy peazy lemon squezy X^2=y^2 |x|=|y| not x=y Ok

[@yadukrishnaks9166]

Karim Elhoumaini 👍

[@VinothKsvino]

Perfect ans,

[@陳柏宏-o6l]

Exactly

[@ahmedmusawi4239]

Exactly .. I spotted the mistake when he was writing it 💪

[@babisvoid8034]

Karim Elhoumaini thank you for saving me time from writing

[@egebarlas6551]

x^2=y^2 doesn't always mean x=y. It means |x|=|y|, which would make you get |-1/2|=|1/2| in this situation.

[@philipp7823]

Ege Barlas Just like how you can't just cancel out those squares in Pythagoras theorem?

[@barry8871]

Left-handed people literally hide what they just wrote, imagine how hard for them to use a fountain pen

[@m.y.najjar1460]

I'm left handed and I can confirm that fountain pens were invented by non other than Satan himself.

[@user-gc4xg9fp2f]

You get used to it but you have to hold it like a prick just to make sure you dont touch the ink

[@mrfremzy4199]

I'm left and right handed and I can write in fountain in the two

[@amiruliman5]

Laughs in arabic

[@rateeightx]

Just Be Like Leonardo Da Vinci And Write Backwards, Problem Solved!

[@praveenkc3627]

There is an error at 3:04 U can't do that...... Actually 4- 9/2 = -0.5 And 5- 9/2 = 0.5 On squaring, the negative sign goes from 4-9/2 Hence we can't say 4- 9/2 = 5- 9/2 So it's a mistake

[@jjooee6699]

I showed this to my teacher and she kept insisting that 16-36 is not -20 lol

[@udaysheoran5433]

Hope it was not your maths teacher.

[@jjooee6699]

Uday Sheoran it was lol

[@rachitkushwaha5398]

OmniV you need to contact a maths teacher

[@jjooee6699]

turns out she has asperger syndrome ok

[@kukwonhyung6286]

omg....

[@oscarzhou213]

Mistake: You didn't actually add the plus and minus sign when you open the brackets for the square of both sides :) For example, 1^2 = -1^2 doesn't mean 1=-1. No offense to anybody :)

[@adityamandal590]

Correct

[@emperorza5777]

Took 8 years but we did it boys 🕺🏽

[@kagm5921]

@@emperorza5777 i think almost everyone that knows the basics of maths knew it. Plus the mistake was found a long time ago, no offense

[@emperorza5777]

Black is the new Red Lmao I found a recent comment and made the joke. It’s pretty obvious that 1. It doesn’t take 8 years to solve this problem 2. If it did, the correct most likely wouldn’t be a KZbin comment.

[@emperorza5777]

Black is the new Red also what’s your username about/ mean? I’m interested. “Black is the new Red”

[@SeaDog]

If 0=1, i will die before i finish this sent

[@switzy5244]

looks like someone else is on the same youtube path as me, ive seen 2 comments from you in back to back videos XDDDD

[@himanshudadrah]

Who hit the enter🤔

[@pacoytaco6322]

My man gnome child

[@SeaDog]

switzy haha now they keep recommending me these math vids

[@mick78882]

I liked for the gnome child

[@aknc1236]

(-5)² = 5² 25 = 25 square root of 25 is 5 or -5 but if you take a square root, you must take the positive number so 5 (not -5) SO Square root of 25 is 5 (not -5) so the square root of is (4-9÷2)² is 4-9÷2 or -(4-9÷2) but you must take de positief one en that is: 4-9÷2 = 4- 4.5 = -0.5 -(4-9÷2) = 4 - 4.5 = 0.5 SO -(4-9÷2) IS THE POSITIEVE ONE SO -(4-9÷2) = 5 - 9÷ 2 -4 + 9÷2 = 5 - 9 ÷ 2 -4 + 4.5 = 5 -4.5 0.5 = 0.5 0.5 - 0.5 = 0.5 - 0.5 0 = 0

[@Maciek-ko1po]

U forgot about | | IT should be : (4-9/2)^2=(5-9/2)^2 |4-9/2|=|5-9/2| 4-9/2

[@ashutoshraina9957]

Maciek Kaproń can u break down a number like he did with 5.9 coz the value changes in decimal

[@mohamedredaboulezaz6498]

Why you add the absolute value ??

[@luklazert.v.6314]

He failed to preserve the integrity of the original equation by proper use of grouping symbols.

[@ashutoshraina9957]

absolute value is the correct one because other values vary in decimal

[@ethanauringer8304]

mohamed reda The square root of the factors was a positive expression but he didn't notate it. Look at the line we're he had parenthesis instead of absolute value lines. If you take the square root of (4-(9/2))^2, the answer would be positive or negative 4-(9/2), you can't assume the square root of a number is positive, you can only determine the signum of a number when the exponent is odd

[@prateekagarwal964]

Actually the mistake is that when you remove square you need to take both sign + &- you only take + one....

[@prateekagarwal964]

(4-9/2)^2 = (5-9/2)^2 =4-9/2 =-(5-9/2) Then ans will be right

[@hahayeah2779]

prateek agarwal i

[@sasukekianhoong6130]

ERM actually that is not nessccery

[@perditus_paradisus]

Sasuke Kian Hoong √(x²)=±x ∴ necessary.

[@prateekagarwal964]

Both negative n posive value is possible when we take square root of any number

[@kuronoarchitect5538]

Nooo!!! Al quitar los exponentes, ambos números quedan con su valor absoluto... Es decir que al final quedó: | 4 - 9/2 | = | 5 - 9/2 | 9/2 - 4 = 5 - 9/2 1/2 = 1/2 ✔

[@thangnguyendinh731]

Yeah that right

[@hgutierrez7306]

Usted si sabe👍👍👍

[@brunopalavecino7983]

Claro, por saltar paso no se percató de la propiedad de valor absoluto |a|=√a^2 Yeah, you're right, he forgot absolutr value |a|=√a^2

[@michealcar5081]

He said 4 - 9/2= 5 - 9/2 That Means 8/2 - 9/2 = 10/2 - 9/2 -1/2=1/2 You have reversed it

[@user-noonetakethisname]

Kurono ARCHITECT nice

[@BM.dallin]

Once more we can thank the KZbin algorithm for gathering us here after 9 years 😂

[@peteralexander8232]

X² = Y² doesn't always mean x = y, which in this case x = -y 5-4,5 = -(4-4,5) so u did math wrong brother

[@carolinedaly6734]

No he didn't look at the title. He says find the mistake. He did it on purpose

[@epic2339]

No peter Alexander is right because 4 - 9/2 = - 0.5 and 5 - 9/2 = 0.5 (-0.5)² = (0.5)² but 0.5 ≠ - 0.5

[@Jblog100]

Nechirvan Haji no Caroline Daily is right because the title clearly says “(Can You Spot the Mistake?)

[@Pal42_]

@@epic2339 when you have excellent Math grades but your English ones are terrible

[@Chief_Bill]

@@epic2339 what Caroline meant was that we shouldn't blame him for being false, since he made that mistake on purpose

[@WindraX]

Remember that a square root always has two roots: a negative one and a positive one. It's often (mistakenly) taken for granted that there's only one root, the positive one, and errors like this proof happen. In this scenario here, 4 - 9/2 = -(5 - 9/2) and -(4 - 9/2) = 5 - 9/2 Because √(4 - 9/2)² = ±(4 - 9/2) and √(5 - 9/2)² = ±(5 - 9/2) So no... 0 ≠ 1

[@delacroidnewgen4555]

Square root is defined from 0 to +infinity, but sqrt((t) ^2)=abs(t) and not just t. That's where the +-comes from.

[@poop8867]

WindraX a radical with an even index always has only one root (the principle square root). However, -1^2 is obviously 1. That’s where the mistake was.

[@Btsarmy-ng1pl]

@@poop8867 ..where?...I'm freakin confused!?😵😵😵😵 ..I still don't get it

[@beozz3759]

The mistake here is that if you want to remove the square root you would have to: √(a^2)=√(b^2) |a|=|b| Which means |4-9/2|=|5-9/2| |-1/2|=|1/2| 0=0

[@nischas9922]

I don't get why - 1/2=1/2?? And this is 0=0

[@thakkarmehul5086]

If we put any negative value into a Modulus like |-a| it becomes "+a" And modulus doesn't affect the positive value like |a| will be simply "+a" So |-1/2| = |1/2| 1/2=1/2 => 0=0

[@lorenzosindoni2845]

but how do you get the 1/2 on the right side?

[@tyow1]

@@lorenzosindoni2845 that’s what 5-9/2 equals

[@sureshms3071]

@@lorenzosindoni2845 Lol dont confuse it like (5-9)/2.. then it will be negative Its 5-(9/2) 5-4.5 0.5 or 1/2

[@blueneon8548]

0:20: Math on the board Me: blinks The board: 3:23

[@santinodemaria2818]

Him: "negative twenty is equal to negative twenty, no arguments there..." Me: **blinks** Him: "That now tells us that 1=0"

[@machinerobinapex6768]

This is the most underrated comment in this video.

[@azabiphetamine]

Boom bam bop Pada boom pom Pow

[@johncedrickmendoza2751]

You must not square root, you must simplify first because there is no variable inside. (8/2-9/2)² = (10/2-9/2)² (-1/2)² = (1/2)² 1/4 = 1/4

[@MrTit-ey8cx]

I just read a whole different comment from you

[@Diaryofaninja]

Yahav Nitzan You’re wrong. You can just as easily set the quantity in each brackets to a variable them square root but applying an absolute value. It would be the same as not setting them to a variable.

[@DJ-hi6oc]

This works too. Although using the explanation of square root solution is |×| also works mathmatically.

[@just.a.guy522]

x² = |x| not x (4-9/2)² equals |4-9/2| not 4-9/2

[@Omar-bustos1997]

it doesn´t equal that brahh

[@Omar_MH]

Evanescence_1981 You mean √x²=|x|

[@just.a.guy522]

Omar Moemen Yeah that's what I meant, it's that we're rooting (if that's even a word, I'm not a native speaker) both sides of the equation

[@jacobk846]

Evanescence_1981 not sure if you're looking for suggestions, but you probably want to say "taking the square root of both sides." You can say "squaring both sides" for raising the power, but I've never heard anyone say "rooting it" when talking about math(s).

[@seroujghazarian6343]

Evanescence_1981 if you're gonna think like that, there is also cube root, quatric root etc

[@gamingwithujj1724]

Me: how many dollars does it cost Shopkeeper: it,s free *smirks*

[@kaproskarleto5136]

You trigger me because you have a comma instead of an apostrophe

[@anonymousidentity9957]

My ocd is acting up

[@gamingwithujj1724]

@@kaproskarleto5136 ._. It,s not an English test going on .-.

[@gamingwithujj1724]

@@kaproskarleto5136 also English is not my main language I’m still learning it >.>

[@VipulPatel-mf3yl]

Me : so how much that cost? Shopkeeper : 20$ only Me : Finally....the moment has come to show some mathematics skills....