Solving a Signum Equation in Two Ways

[@akshatjangra4167]

This seems pretty easy, we can get the few accepted values of x by using range of signum function and use that in the definition of signum function

[@MathElite]

sgn(whatever)=0,1,-1 1-2x = 0, 1, -1 x=0, 1, 1/2 possible values check them and the ones that work is the answer

[@3r3nite98]

I know you didn't ask,but I've researched the age restriction thingy and it turns out that it's not bad for ppl to be under age on YT as long as they're on their parent account.Yay I don't have to leave YT.

[@beastgamer4932]

Which is 0 and 1

[@beastgamer4932]

@@3r3nite98 that’s good news buddy

[@3r3nite98]

@@beastgamer4932 thx

[@MathElite]

@@3r3nite98 yay

[@Rbmukthegreat]

This was a problem that I could actually solve! Great video!

[@SyberMath]

Thank you!!! 💖

[@242math]

great job Syber, thanks for sharing bro

[@SyberMath]

Absolutely! Thanks for watching, man! 😊

[@nitayweksler3051]

Thanks for teaching me what "Signum" is :) after knowing what it is the problem became super easy :D

[@SyberMath]

Happy to help!

[@2ndtik]

Love your videos from HK! Hope you will continue to make more fun maths video!!!

[@aashsyed1277]

*Hong Kong

[@SyberMath]

Thank you! 💖 I will!

[@tl1989]

Nice video! The question was easy and I liked it a lot!

[@SyberMath]

Good to hear!

[@aashsyed1277]

Wow sybermath so so cool!!! I can't believe that you almost have 30 k subscribers!!!

[@SyberMath]

Thank you! 💖

[@satyapalsingh4429]

Very nice explanation

[@SyberMath]

Thank you!

[@rudranarayanswain2382]

Very nice explanation.....I loved it👍☺️

[@SyberMath]

Thanks a lot 😊

[@brownjuices6503]

I don't understand why there is a 3?where is that from?

[@leecherlarry]

compi would like to do it too haha: *Solve[Sign[x^2 - 4 x + 1] == 1 - 2 x, x, Reals]*

[@p_square]

this is a Mathematica code?

[@leecherlarry]

@@p_square yes sir! you prefer Maple 🍁?

[@p_square]

@@leecherlarry never heard of maple but gonna check it out

[@leecherlarry]

@@p_square google for a funny webpage created by wolfram company 😆 (maple is more modern and user-friendly and more popular but in the long run the _Wolfram Language_ is like a foreign language or programming language that sticks with you forever - a beautiful thing to have in one's life, you learn it for yourself as a general tool/skill and not because you just want to do maths 💃💁)

[@p_square]

@@leecherlarry yeah, I looked at it... maple clearly looks better but Mathematica is more popular because of WolframAlpha. Even I didn't knew about Maple before you told. And the webpage is just filled with how Mathematica is better than Maple which I don't think is true.

[@tonyhaddad1394]

Awesome i solved it , nice choice bro ❤

[@SyberMath]

Thanks ✌

[@riade-yet1489]

Hi Sir, i know the academic solution the secomd one. But the first one is smart but crealrly not possible to be gemeralised and became more difficult if the second part of the equation is a little more complicated. Thx for all your videos even i haven’t seen all of them.

[@moeberry8226]

There is a way you can define the signum of a for a equal to zero. Signum(a)=a|a|. Instead of the division.

[@SyberMath]

You’re sure this works? 🧐

[@leonhard5235]

Sir you sound like a turkish because of your accent but thanks for helping,sending you the best

[@SyberMath]

Thank you! Tesekkur ederim 💗

[@leonhard5235]

ADAMSIN, seviyoruz seni@@SyberMath

[@pc_phage8500]

Totally lost. How do you get 1-2x ?

[@thebeginner7526]

Please can you tell me the best video editing app in microsoft store on computer.

[@SyberMath]

I do not know. I edit on iPad

[@vuyyurisatyasrinivasarao3140]

Very good methods Sir thank u sir

[@SyberMath]

You're welcome!

[@manojsurya1005]

Can u pls tell the use of this function somewhere in science? And btw I solved it

[@SyberMath]

Good! No idea

[@manojsurya1005]

@@SyberMath ok

[@swátt7ik]

Very good nice 👍👍❤❤❤😊😊

[@SyberMath]

Thank you very much 💖

[@jezykpolskijestpomidorek9468]

why cant 1/2 be an answear at the end? like literally 1/2 is in interval 0.3 3.7

[@enejidjsi5939]

Signum function only gives 0 when the input of sgm is 0. Which means 0 = 1 - 2x and 0 = x^2 - 4x + 1. Solving both of these equalities does not lead to any common solution thus is not a correct answer. Does this make sense? Let me know if u understood it or not

[@enejidjsi5939]

I mean sgm(whatever) can only be 0 when whatever = 0. Thats what i mean by the first line

[@aashsyed1277]

Do so cool! You are so awesome 😀😃😄😎😎😎

[@3r3nite98]

It's looks very cool,also Imma see if I can solve it myself w.o anyone's help Edit1:Yay I solved it.

[@SyberMath]

Nice! ☺️

[@chandrashekharmehta6121]

1 is going to be the answer, commenting without watching the video for 20 seconds And now i will check, i am correct or wrong 😅

[@rssl5500]

What is signum function I haven’t heard about it

[@rssl5500]

I hadn’t watched the video yet lol

[@pardeepgarg2640]

But what is sgn(i)

[@heinrich.hitzinger]

Well... The signum of a complex number z is z/|z|. i=e^[(pi/2)i] Hence |i|=1. sgn(i)=i/1=i. The result is a complex number on the unit circle with the same angle (argument). :) For real numbers, sgn(x)=x/|x| That may only be -1, 0 or 1. :)

[@rssl5500]

First equation I solved here :D

[@tl1989]

I did this one too and it was easy... But here I did only one another and it was an exponential one!

[@rssl5500]

Wow I always feel like exponential equations are pretty hard maybe it’s because I haven’t learnt about logs yet anyway congrats :D

[@tl1989]

@@rssl5500 Me too I haven't yet learnt them at school, but while watching videos on youtube, you find them a lot of times, so I learnt some basic things... In the equation I was able to solve you just had to know how to solve quadratic ones... kzbin.info/www/bejne/fV6VnKdtgLmfaNE By the way the link above is the video about that equation, give it a try if you want😀

[@rssl5500]

Thanks :D

[@tl1989]

@@rssl5500 No problem!

[@pe3akpe3et99]

what about complex numbers

[@SyberMath]

Check this out: en.wikipedia.org/wiki/Sign_function

[@vcvartak7111]

Never heard of sgn function

[@SyberMath]

Now you know

[@yonsa-sq5ci]

Nice or education program am like

[@Teamstudy4595]

X=2

[@Germankacyhay]

👍

[@giuseppemalaguti435]

X=0,x=1

[@chaparral82]

x=1 and x=0, just looking

[@rssl5500]

I think x can be 1 or 0

[@Vladimir_Pavlov]

the task is too simple

[@SyberMath]

ok

[@akshatjangra4167]

No math elite?

[@MathElite]

heyyy

[@akshatjangra4167]

@@MathElite hi

[@beastgamer4932]

2ndlol

[@beastgamer4932]

11th nvm