Algebra 2 - Completing the Square

Weeeee're BACK! This time with some vintage Yay Math in class, discussing some high level completing the square. What makes it high level is that on our last problem, we handle a quadratic equation with a leading coefficient. We address how factoring would be a great method, as well as the quadratic formula, IF POSSIBLE. When not, completing the square to the rescue. YAY MATH!
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[@Squeakys]

I'm jealous for the students, they have no idea how lucky they are to have a teacher like you.

[@johnshin8056]

exactly :.,(

[@thefriendlydeadguy154]

if i were a teacher i would be jealous of HIM, the students act so well

[@Hertog_von_Berkshire]

"jealous for"? Makes no sense whatsoever. Maybe you mean "envious of". Maybe there's a KZbin English teacher out there who is as good as this maths teacher. Raise your game.

[@itszamablack]

@@Hertog_von_Berkshire not everyone is British or American

[@joanny3280]

When you have a test tomorrow and you just gotta spend the day watching 1048383737 videos on how tf you actually do math

[@itsyaboinoel668]

Thats me right now

[@Kilbo78]

me too

[@user-il9my1zu3m]

I have a test tmr

[@countotuscany7061]

LITERALLY ME rn

[@MathNerd1729]

Joey Very funny exaggeration. That is actually impossible, though. There are only 60 x 60 x 24 = 86400 seconds in a day. So you would be too late to do your test by the time you watched all those videos. LOLOLOLOL

[@felixvargas9131]

you are better at teaching than any other teacher i have ever had thanks

[@Amani_Rose]

Thank you You saved me for my Mocks I'll hopefully see you again when I'm revising for my actual GCSE's

[@jscubes9714]

I watched this video, then the next day I was like the smartest kid in class

[@smileyvssadgirl]

I just love the way you teach. You make it so easy to learn.

[@eddie1105]

I enjoy yay math you're the only lecturer I understand math from with no questions in my head.....Keep up the good work.

[@pahankodikara5488]

im so thankful for stumbling across this video. ive been struggling to learn this method even after being taught in school and referring to some videos on yt. u just made it look so simple, thanks a lot!!!

[@rozanxoxo4016]

I was actually watching this on a Tuesday night 2! 😂💀

[@lateshiachilds3640]

Hes a good teacher, im 35 and taking classes i havent been in school in a while, this video is helping me better than the teacher i have now.

[@lucynsh.7302]

I also want to have amazing learners like yours next year during my SBS in my class. ..Your students participates and that is good..

[@mattw7796]

Congrats on 100k!

[@Rdms7]

Man wtf I’m actually watching this on a Tuesday night mind=blown (5:35)

[@musicalchikaan3239]

Same here

[@giovannaguerrero4493]

Same🤣

[@r.nshukla5539]

Excellent teaching . Thanks a lot to you sir !

[@garymckinley6974]

I wish I had you in the early 60s teaching my algebra classes. I may have actually succeeded in college.

[@excellentgamer8145]

HOW OLD ARE YOU🤨🤨

[@eternxlhaaris5811]

@@excellentgamer8145 About 80

[@mattthatratt]

I'm watching this because my teacher completely skipped this part of the unit!! No joke, I thought I just forgot because it was one of our first units but no she completely skipped it!! Like darn, no wonder I had no idea what it was talking about on the midterm. I don't have to take finals anymore because of the mess going on right now but my friend needs help for online classes and honestly, you made this really easy to understand. Thank you!!

[@kazifaiad4174]

I really want a teacher like u!!!

[@Fang727]

You helped me a lot I love you :] I just realized it is a Tuesday night for me :O

[@gohanwanabe]

Great videos and love them so much

[@tuesdeewilliams6683]

I Love You the most. Your videos are amazing. I've been watching you for weeks getting ready to take my state exam to teach secondary Math in Texas and you've been the biggest help out of all the resources I've used. My exam is in 24 hours and I'm ready. THANK YOU, if you'v never heard it; i'm sure you have. But thank you so much and do keep doing the videos, I love them and you inspire me.

[@LedBeatle-vz4ui]

Thanks. I know how to do it now. I just finished my homework because of you.

[@jiayn8069]

Thank you so much for this you made me understand this so much clearer👍👍

[@mistyssingingvlogbielebera3734]

Best ever teacher I've ever met ...on KZbin ... thank you so much sir

[@oluseyeodujole4279]

Undoubtedly, Mr Ardut is one of the best math teachers alive.

[@FilipinoStraightUp]

Thank you for this upload

[@jaygarrick1061]

Hey yay math guy. I was watching a video you did on permutations (the doctor one)... Im having an issue with a question. Im struggling to understand the principles behind it.... any chance I can drop the question and maybe you can include it as one of your examples in your videos. Thanks for the vids man

[@saraharora89]

Woah! I am watching on a Tuesday night! 😮

[@saulee9459]

Hi I am Arabic man I study in (KSU). you helped me so much .thank you man ♡

[@krisg5078]

you are an awesome teacher!

[@jessica-rb7yr]

Thanku for saving my life u made it fun n easy for me 🔥

[@brandonharper5131]

you literally saved me, im a freshman in algebra 2 so its rly advanced for me and i was about to fail a test (if i fail a test i get dropped down to geometry)

[@sharonmori4833]

Thanks am now so ready for my exam today this helped me so much

[@RehannahB]

5:37 How did you know it was Tuesday? Lol

[@clintonandrews1538]

Good explainer! I've watched other videos teach 'completing the square' without explaining the (b/2)², or the (b/2) shortcut, making them mathemagicians not teachers. Thanks for the video! In grad school econometrics, the prof put a three-board problem on the white board. One of the top math students said "I see where you began, and I see where the answer is, but how did you get from the beginning to the answer? The prof replied "Do you really want to know??" I almost blurted out 'No. It was an effin' rhetorical question!'

[@mahussein6281]

Thank you. You are brilliant in maths.

[@murraycameron4207]

When I teach completing the square I start with coefficients only. For instance 1+4-5=0 which can be changed to1+4=5. Now take half of 4 and square it to get 1+4+4 = 5 so you have to add 4 to the right side because you did so on the left which becomes 9=9 since 9 is 3 times three so the formula becomes (x-3)squared -9 =0.

[@zincman1995]

Sir: Could you share an example where one would use 'Completing the Square' in everyday situations, (student here, not an expert). Thanks

[@Natasharaina_]

Love from INDIA❤️ BEST MATH TEACHER, following since years

[@saulee9459]

مرحبا انا طالب في KSU لقد ساعدني هذا الفديو كثيرا لحل واجب الرياضيات و اتمنى ان احصل على درجة الواجب كامله . اردت ان اشكرك فقط و اشجعك لتكمل الشروحات . اتمنى لك يوما طيبا

[@ashleyheberer2781]

I absolutely love the way you teach, just hard to learn because your in a classroom (with teenagers lol)! I wish you did videos alone!!!!!

[@naveedullah9084]

😂😀

[@harivonwintr]

On the last equation, how do you know when it's possible to factor and when not. Because the way I learned was that you had to get a number that could be multiplied into C and also be added together to make B. How does 3+1 = 5x?? If I had something like 2x2 -16x + 3 would the same rule apply?

[@user-hb1sc7cq1r]

I know righhhhtt

[@kat930]

It would be the same bc wouldn’t x just replace b?

[@majorenkova]

Yeah. 3 +1 =5? Wtf???

[@timonofathens8645]

He skips some steps. 2x2-5x+3=0 a b c STEP 1 ac=2*3=6 Factors of ac: (1,6) (-1,-6) (2,3) (-2,-3) The pair of factors which added together equals -5 is (-2,-3) STEP 2 You plug those two numbers into the equation replacing b ,in this case, -5. The equation becomes: 2x2 -2x-3x +3 = 0 STEP 3 Here comes the factorization!! Split the equation in half, factorizing the first and second half separately. 2x2-2x -3x+3= 0 2x(x-1) -3(x-1) = 0 STEP 4 This next step will bring you to where he starts ;) (2x-3) (x-1) = 0 Hope this helps! Peace. God bless you.

[@MjaySenoj]

trial and error

[@burkujoogy]

16:23 Where did you get the half, you multiplied -5x/2 to 1/2 ?

[@indeeditiscirro]

because he's halving -5x/2 to fill the bracket. halving is the same is multiplying by 1/2

[@CaseyMarkov]

did i hear some kid asking about Wawa at 14:25? liking just for that. also, would it be the same as fractions if you Used I and/or decimals. also, how did you get 1/4 from 1/16

[@TheLittleThingsAroundUs]

I like how my teacher has taken a week or two to teach us this, I dont understand, but now that I watched two videos from this guy, I can do this so easily as if I were taking candy from a baby. (Which I don't do) ALSO I really did think that y'all have been fast forwarding the whole time....

[@UOTQAUIBO]

You are honestly one of the best teachers out there, nobody else has come close to making me understand math. Thanks for making these!! Oh and uh..... 11:33 Whataburger is better ;)

[@michellejames8606]

this lesson was awesome

[@michaelchin3368]

how do you work the fractions

[@beverlyfrancis8433]

I want to purchase one of your books

[@elyseesvonne9487]

i love you... i love you.. so much... thank you... never stop.. you're not allowed.

[@ajwaakwamena7419]

Wow that amazing

[@huggybear6093]

this guy is awesome --- THUMBS UP to u bro

[@vernelisonruthbelacho8087]

Eyyo, it's also Friday! Btw our school is about to start S.Y.2020-2021 on Monday so, guess advance study in no time hahaha and thanks for your great teaching skills👌

[@mannynoneya7143]

LIFE SAVER

[@paycoramalho6145]

I like the way you teach

[@leighshalee1169]

this was helpful

[@donnafoster1632]

Where did the 2i come from? Don't understand.

[@carmiebenz8771]

Thank you your great.

[@kzeich]

What part of Maryland are you from?

[@ennnaaa7584]

The best teacher ✊

[@abednoori1346]

Where did u get (2×-3) and (2×-1)

[@ahmedal-kanan721]

great teacher ,thanks 😘😚

[@janetyu418]

My My daughter is 10,she told me she Understand your class ,that so good.

[@tb2748]

7:21 - actually thought it was fast forwarded at first lmao

[@uniquemind1935]

Very good teacher

[@israelmanu3998]

Ooooh I wish you were my teacher at school you're Awesome

[@kawazaki23]

Hi i am stuck at this question 3x^2-x can anyone help me please .??? on how to complete the square

[@benlee5039]

why did u put i in 2i root 2 at 11:11?

[@tomg271]

I am actually watching on a Tuesday night :p

[@elyjahnoble1566]

thank you, my teacher stinks at teaching me. this was very helpful.

[@hello123s]

So do u at being a student

[@catcus1028]

Tuesday morning!! Whoooo!!

[@issayasin4118]

hallo where cani find the best pdf for precalculus???

[@politismos3929]

search "zeagers precalculus" on Google.

[@user-xb5sm9bu7y]

شكرا جزيلا

[@leonmarquardt227]

its like almost 3 years ago and i am watching this at a tuesday night XD

[@AbuBakarrFSesay]

i was art student in st Edward secondary school sierra Leone west African . i love math in class how to perfect please help me

[@abokwu]

2i ? I don't understand the i ( what part of Maryland?).

[@salamander9763]

by getting the half of -8 which is-4^2 that's how 16 appears in the expression. Now what is the i in the sq root infinity

[@fotnite_]

"i" is a constant equal to the square root of -1. It's used as a suffix for imaginary numbers (negative numbers that have been square rooted)

[@SamirSelim]

Good teacher

[@jasoncintron1931]

You saved me with the problem at 15:00 . Thanks! I just wasn't getting it, but you broke it down nicely.

[@eliakangumbe2946]

This is enriching

[@justbry7334]

What is the I for I'm trying to get ahead

[@PeyGuapo]

BryBoo smith square root of -1

[@justbry7334]

Bigtwerkk i thought you couldnt take the square root of a negative number

[@Ejazzz]

the i = -1 so you can take out the - in the square root making it positive so you can square root

[@justbry7334]

Meghan oh okay thank you

[@downedseal2954]

This helped me with my regents

[@justinsimon154]

I was watching on a Tuesday night!😂lmao

[@Lovelyleyy]

Justin Simon me too

[@adriananderson2626]

me too

[@cameronseaward4949]

....Me too!! :)

[@RehannahB]

Same

[@charitymcclure8947]

same wtf

[@issayasin4118]

please i would like for help???

[@elijah5516]

1000th like!! Heck yeahhh

[@augustayarteh7524]

You can factor it and solve for the x ya is true Move The positive one to the other side of the equation. Your b is 6. The half of that number is 3 lovely explanation.

[@markosc3230]

Damn on a Tuesday night. I'm here doing my hw at 7:17 on a Tuesday fml😭

[@shizalatif4406]

Im in 8th Grade and in school we do Algebra 1 and we did this and I understand it more thx!

[@shizalatif4406]

But we didn't do the squaring. But we did completing the square.

[@Muzammilkhan-xn9km]

Shiza Latif hi

[@pamkay9240]

Watching it years later and it is a Tuesday night. Sucks to be me, lol

[@chafilalvarez9580]

yayy math, yayy life😂

[@oscarcruces9202]

partial fraction decomposition

[@renzyydelacruzz6752]

17:58 where did the 8 come from?

[@idontkno2155]

no seriously i have been trying to understand that for the longest

[@mrman2293]

You're a good man, thank you. MEME INCLUDED

[@AriaFamily]

I wish you were my teacher 🥰anyway I have a best teacher I love him but he is not funny but he is best !

[@khalidomar4764]

watching in 2022. worth watching!!!!

[@yahyaqadir5610]

Hi What is 2i????

[@stephenugochukwu9472]

If this guy was my Math teacher, I would have been a genius in Math

[@shanza7408]

Why is he using 'i' before the square root in the second example? Anyone help? I have not heard of it before.

[@MathNerd1729]

i is the imaginary unit defined to be the square root of -1. Don't worry, these kind of numbers (complex numbers) will be learned at around college.

[@hajirkhalid4441]

Hi I want to ask you about something What is answer of i¹8 ?

[@hajirkhalid4441]

I know this video isn't about the complex numbers but I need to know the answer

[@ayanleInstitute]

Are you asking i*8? or Square Root 8i?

[@hajirkhalid4441]

Don't worry I've known the answer

[@ayanleInstitute]

If you need Algebra 1 and 2 help website, go to www.openalgebra.com (it is free)

[@brennhhh]

im actually watching this on a tuesday night 😭 exam tmrw too

[@lock2342]

16:13 -5/2 over two

[@xianflora8411]

Thank u teacher and thank u KZbin

[@mustaphablango7677]

That is so amazing professor