04 - Completing the Square to Solve Quadratic Equations - Part 1

[@amosotuata8724]

You are one of the best Maths teachers I have ever known. The way you breakdown complex concepts into simple ways for easy understanding is just amazing . You have indeed stimulated further my interest in maths. Thanks for the freely given tutorial.

[@vencatachellumpalen5322]

Thank you for your generosity giving your knowledge free is very appreciated by all the viewers and the devoted students all over the world.

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Sorry to be off topic but does any of you know a method to get back into an Instagram account..? I was dumb lost my login password. I love any tricks you can give me.

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@@paxtonorlando8003 do you remember your email tho ?then you can click forget password

[@MyKrabi]

OMG I have spent 2 weeks struggling with this concept - and he explains it like MAGIC. Thank you for teaching.

[@beautifulbalance108]

I am in my mid 30s, trying to go back to college for nursing and I have to upgrade both math and chemistry in order to apply for the program. I have been doing review beforehand because they aren't my strong subjects. You have been my teacher in both subjects, I like the way you explain things! Thank you

[@14Anon2]

Good luck! Although I am of the belief that nursing does not need a college degree and would be better going back to the apprenticeship system that was used until the last few decades - of course, there isn't as much money to be made from students that way...

[@mikiasassefa7267]

You are one of the best Maths teachers I have ever known. The way you breakdown complex concepts into simple ways for easy understanding is just amazing . You have indeed stimulated further my interest in maths. Thanks for the freely given tutorial, Thank you for your generosity giving your knowledge free is very appreciated by all the viewers and the devoted students all over the world

[@MirBaloch-n8f]

you saved me. i could not understand this at all. i tried every video but nothing worked, you are the best teacher

[@Dave-py9re]

Best math videos. Thank you. It is fascinating how the process of dividing by 2 and squaring makes the equation workable regardless of values that are not factorable.

[@littlerascaleventing]

Me using this video instead of my actual lesson because this guy is so much BETTER!!!

[@simpleman283]

Wow is all I can say. Great lesson. Thank you so much. My brain has been in melt down over x^ + (x+1)^ = 25. I got it down to x^ + x = 12, but that is as far as I could go. I followed along w/paper & pen, each step. Starting at 10:15 - 15:25. My answers are 3 or 4. 3 solves for my x Yes, it's the old 3,4,5 triangle.

[@mahussein6281]

Thank you so much . Really, the way you elucidate is very clear and easy to follow . I have benefitted you from you tremendously. Indeed you deserve millions of subscriptions, and and I am sure you make an immense difference in my people's lives .

[@kjella.johansen1402]

The most brilliant tutorial I ever saw!

[@abahiduh3246]

This man has succeeded in elucidating the fact COMPLETING OF SQUARE is still a waste without factoring.... We do🔥 COMPLETING of SQUARES only for us to be able to factor again🔥

[@hailemelekot5190]

Thank u sir,I'm just revising my math knowledge from ur interesting teaching method. Keep it up.

[@marysjmaran]

Thank you so so much. I've been struggling for 2 months, your explanation is way better than my maths tr.

[@ianmendoza6555]

The legend, the myth.

[@EstherNamwila]

You're the best you know how to explain to make a learner understand 🎉🎉

[@AbdulmalikMuritala-pt4vn]

Nice teaching.👌👌👌👌👌👌

[@lindahubbard5454]

Excellent lesson. It’s my 4th time through and I have it. Awesomeness squared.

[@jask320]

The best explanation ever. Thank you

[@foolsphilosophy]

You're an amazing guy. Thanks I'm learning this at 27 years old.

[@akramshaheen2481]

For what ?

[@marijana128]

Excellent explanation. Easy to follow and understand. Thank you

[@jasminegarcia6216]

I am immensely appreciating your videos!

[@treason9906]

Please dont stop posting math videos. Love you man ❤

[@MathAndScience]

Love you back! And thanks!

[@idontknow-ms8mc]

These videos are so good.

[@Coco_Dessy]

Thank you sir, and happy new year 🎉

[@chocolateangel8743]

Completing The Square makes a lot more sense when it's done with an area model. You're a good teacher, though.

[@eric4709]

Absolutely. Just draw a square of side length "x" Now draw on one side of the square a rectangle of length x and width "b" You now have a new rectangular shape that has an area of x^2 +bx with sides of length x , and x+b This total area represents the "c" part of the quadratic equation Now ... instead of just adding the b*x rectangle to ONE side of the square... if we cut the b * x rectangle into two equal slices of width b/2... and add one slice to each side of the square.. we now have what ALMOST looks like a NEW square of sides x+(b/2) ..... ... but.... there is a small square of sides b/2 missing where the two rectangles meet. IF we could "add" this missing piece... we ... would... COMPLETE this NEW square !!! ( sounds familiar?? - completing the square? And the famous quote... add half the coefficient of x squared now makes sense??) So add it ! ( and to maintain equality.. add it to both sides of the original equation If you draw this out.. - you will see al this quite easily. Now.. it becomes clear to see WHY one takes the coefficient of x ( ie - b) divide it by 2.. and then square it!! So the original equation x^2 + bx +c = 0 becomes: x^2 +bx +(b/2)^2 = -c + (b/2)^2 And we already know the left hand side is now a perfect square of sides x and b/2 .. So rewrite LHS as (x+ b/2)^2! Sounds complicated trying to write it out in words... but very simple to see if you draw it !

[@eugeneamole254]

You explained so easy a baby could understand!I finally got it.thanks

[@sumitbhoi4070]

13:51 How ? I mean why did you add ?

[@ijeomaisaac254]

I really understand it now thank you so much ❤️❤️🎉🎉🎉😊😊

[@tresajessygeorge210]

It is difficult to remember... because I do not understand why we do that...!!! THANK YOU... SIR...!!!

[@copewithlove]

Thank you for this amazing lesson!!

[@Apuotmachar]

I am sorry to ask you this question sir What if the -6 in that equation X^2 -6x -3 is and odd number like -7x then what are we supposed to do?

[@MathAndScience]

You do the same thing but you need to deal with the fraction 7/2. Not fun!

[@Apuotmachar]

​​@@MathAndScience thanks so much sir I am a young basketball player but you made maths more easier for me ❤❤

[@kkomax7]

What playlist is this video part of? I tried to find it in the channels playlist but I culdnt find it. Its helping me so much! thanks.

[@littlerascaleventing]

It's part of algebra course 2, unit 9. Hope this helps, he's helped me so much too but I know how confusing it can be if you can't find the playlist.

[@andrewbazo8388]

Thank you for your valued time, sharing knowledge, can you kindly share the link where you explain about Factorising... @Maths and Science

[@mariafabiolarealtor]

you are an amazing teacher

[@jillanelemam8047]

You are my super tutor

[@abdouliendow1022]

Thank very well because any time I got you easily solve it

[@thatomofolo452]

1:21

[@Just-u7q3l]

👍 lesson. But it would have been been better if you had drawn ✍️ the square to explain it. Students will understand much more in visual way.

[@marblebloc1943]

Depends on the student

[@Iceage5811]

For this method does a have to be 1 and b an even number?

[@salehadham232]

that is wonderful! it is really briliant! alot of thanks!

[@damon123jones]

great teacher

[@ethioupdatedinfo.]

Thanks our math expert

[@patriciodoig7962]

i had a problem with the method of cuadratic equations the factoring method not always give me the same results at the method of competing quadratics it was repassed by Gemini ia and they admit dot doesn't match ????

[@davidlourenco4662]

Where are the other parts?

[@guidofeliz8384]

Are you teaching algebra 2 topics? What is the name of this course?

[@MathAndScience]

Yes, and the title of this course is called "The algebra 2 course". Thank you!

[@jillanelemam8047]

Awesome 👍

[@nilabezhan9458]

Thank u sir very very much

[@unculturedweeb6095]

Thank you teacher

[@kigwanasamuel604]

thank so much dear for i have understood

[@Maya-kn3rl]

10:35 example

[@TheKonzue11]

Thank you!

[@kfjfkeofitorhf9520]

X=-1 1+(-2)+1=0

[@graceloh8916]

Thank you so much

[@ernestflores1409]

I need the titles of previous videos before this one

[@harry011984]

How does it work with this one. Y^2 +3y -10=0. I don't seem to get the right answer. Get (y +3/2)^2, which expands to y2 +3y +(3/2)^2 -10 =0+(3/2)^2. Aghhhhh

[@guidofeliz8384]

Jason is very good.

[@MathAndScience]

Thank you I really appreciate it.

[@guidofeliz8384]

@@MathAndScience : I want to see you teaching the following courses in the future: Linear Algebra Partial Differential Equations Advanced Linear Algebra Advanced Calculus Complex Variables Algebraic Topology Differential Geometry Axiomatic Geometry Plane Geometry History of Mathematics

[@mrbraamer5645]

But what if b is not as easy to be divided by two like 15x… you get a decimal. Right?

[@simpleman283]

decimals work.

[@meczyfajka]

Can someone please explain or at least share a link to a video explaining why we divide the b by two and then square it?!

[@simpleman283]

I just found this video 3 days ago. After watching this, you will understand how & why, then you'll never forget. kzbin.info/www/bejne/nnvLoHifoJ2DbNE Completing the Square - the classic way! by (MikeDobbs76)

[@tuffbear7603]

THANK YOUUU!!!

[@MathAndScience]

You are very welcome!

[@chandpashnh.5856]

Sir help me by solving below question. X²+2x+2=0 solve this by complete square method.

[@miniubhi4124]

Thanks really good

[@samsonaporador8820]

i hate my X,, dont ask Y

[@tuffbear7603]

LOL

[@Sjb2077]

Smart🤣 and funny. Loved it. 🇬🇧

[@mohannadalsheikh2351]

LOL😂

[@augustinearkoturkson2198]

What if i don't get a perfect square quadratic?

[@tanishar6548]

It always has to be a squared quadratic if it’s not then guess ur ans is wrong or Check w ur teacher once

[@olalerehabeeboluwatobi7256]

Love u sir

[@fredrickeffi2143]

Excelente

[@glennfelpel9785]

Well done! Thank You

[@MathAndScience]

Thank you!

[@123lightmovies]

Where is Proof of that (/2)^2 in the 2nd term ?

[@kazuya3849]

where is part 2-5?

[@faisal_tarshon]

thank u

[@mr45_zw54]

Thxs

[@MusawwiraExhibition]

OK... I need to solve a simultaneous quadratic equation that is ;4x2 -5y2 =6 3x2+y2=14 anyone knows how to solve it, please comment..its urgent

[@thatomofolo452]

💪💪💪💯💫

[@ethioupdatedinfo.]

Being the first

[@michaelgilbert1531]

Ilove you dady

[@MathAndScience]

Lol

[@michelleturnipseed8108]

dont work

[@simpleman283]

it did for mine x^ + x = 12 3 or 4. 3 works

[@biffroberts5906]

I'm pretty sure that this guy and the guy that invented "completing the square" are the only two people that ever did complete the square.