04 - Completing the Square to Solve Quadratic Equations

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

Рет қаралды 152,853

5 жыл бұрын

Visit www.MathAndScience.com.
In this lesson, we learn that all quadratic equations can be solved by a method known as completing the square. This method involves changing the left side of the quadratic into a perfect square, which means that we can then take the square root of both sides to find the solutions.
All quadratics can be solved this way, even if they aren't factorable. The famous quadratic formula is actually derived and comes from the method of completing the square, which is something we will discuss in a future lesson.

Пікірлер: 92

@amosotuata8724 2 жыл бұрын

@MyKrabi 3 жыл бұрын

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

@vencatachellumpalen5322 3 жыл бұрын

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

@paxtonorlando8003 2 жыл бұрын

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@sukmonster9352 2 жыл бұрын

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

@mikiasassefa7267 5 ай бұрын

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

@pchuang6698 2 жыл бұрын

Give this gentleman a Nobel Prize for education! Name him the Friend of Humanity plus a Congressional Medal. The part of "time 1/2 and square it" is the eye of the needle, which has stopped millions of camels to get through it. Sir, you have done a great job to open the gate to algebra heaven.

@ianmendoza6555 4 жыл бұрын

The legend, the myth.

@Dave-py9re 9 ай бұрын

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 3 жыл бұрын

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

@AbdulmalikMuritala-pt4vn 9 ай бұрын

Nice teaching.👌👌👌👌👌👌

@user-km3bw8bn9r 8 ай бұрын

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

@mahussein6281 Жыл бұрын

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 .

@abahiduh3246 8 ай бұрын

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🔥

@marysjmaran 3 жыл бұрын

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

@lindahubbard5454 3 жыл бұрын

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

@jasminegarcia6216 Жыл бұрын

I am immensely appreciating your videos!

@idontknow-ms8mc 5 жыл бұрын

These videos are so good.

@EstherNamwila 9 ай бұрын

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

@treason9906 Жыл бұрын

Please dont stop posting math videos. Love you man ❤

@MathAndScience Жыл бұрын

Love you back! And thanks!

@jask320 Жыл бұрын

The best explanation ever. Thank you

@chocolateangel8743 3 жыл бұрын

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

@hailemelekot5190 Жыл бұрын

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

@marijana128 Жыл бұрын

Excellent explanation. Easy to follow and understand. Thank you

@shuneleimyint 29 күн бұрын

Thank you for this amazing lesson!!

@andrewbazo8388 2 жыл бұрын

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

@salehadham232 2 жыл бұрын

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

@ijeomaisaac254 8 ай бұрын

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

@simpleman283 2 жыл бұрын

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.

@mariafabiolamata3772 3 жыл бұрын

you are an amazing teacher

@ethioupdatedinfo. 5 жыл бұрын

Thanks our math expert

@foolsphilosophy 3 жыл бұрын

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

@akramshaheen2481 Жыл бұрын

For what ?

@kkomax7 3 жыл бұрын

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 3 жыл бұрын

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.

@jillanelemam8047 2 жыл бұрын

You are my super tutor

@Iceage5811 Жыл бұрын

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

@justaman7745 3 жыл бұрын

👍 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 3 жыл бұрын

Depends on the student

@damon123jones 2 жыл бұрын

great teacher

@TheKonzue11 3 жыл бұрын

Thank you!

@abdouliendow1022 2 жыл бұрын

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

@unculturedweeb6095 3 жыл бұрын

Thank you teacher

@eugeneamole254 2 жыл бұрын

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

@graceloh8916 Жыл бұрын

Thank you so much

@jillanelemam8047 2 жыл бұрын

Awesome 👍

@tuffbear7603 3 жыл бұрын

THANK YOUUU!!!

@MathAndScience 3 жыл бұрын

You are very welcome!

@ernestflores1409 2 жыл бұрын

I need the titles of previous videos before this one

@nilabezhan9458 3 жыл бұрын

Thank u sir very very much

@tresajessygeorge210 24 күн бұрын

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

@davidlourenco4662 7 ай бұрын

Where are the other parts?

@fredrickeffi2143 7 ай бұрын

Excelente

@kigwanasamuel604 3 жыл бұрын

thank so much dear for i have understood

@guidofeliz8384 5 жыл бұрын

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

@MathAndScience 5 жыл бұрын

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

@meczyfajka Жыл бұрын

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 Жыл бұрын

I just found this video 3 days ago. After watching this, you will understand how & why, then you'll never forget. kzfaq.info/get/bejne/nrCYoqia0J60ZqM.html Completing the Square - the classic way! by (MikeDobbs76)

@chandpashnh.5856 2 жыл бұрын

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

@mrbraamer5645 2 жыл бұрын

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

@simpleman283 2 жыл бұрын

decimals work.

@Maya-kn3rl 2 жыл бұрын

10:35 example

@majakmajokkhon6770 Жыл бұрын

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 Жыл бұрын

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

@majakmajokkhon6770 Жыл бұрын

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

@sumitbhoi4070 Жыл бұрын

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

@augustinearkoturkson2198 3 жыл бұрын

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

@tanishar6548 3 жыл бұрын

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

@faisal_tarshon 2 жыл бұрын

thank u

@glennfelpel9785 5 жыл бұрын

Well done! Thank You

@MathAndScience 5 жыл бұрын

Thank you!

@guidofeliz8384 5 жыл бұрын

Jason is very good.

@MathAndScience 5 жыл бұрын

Thank you I really appreciate it.

@guidofeliz8384 5 жыл бұрын

@@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

@olalerehabeeboluwatobi7256 10 ай бұрын

Love u sir

@mr45_zw54 3 жыл бұрын

Thxs

@samsonaporador8820 5 жыл бұрын

i hate my X,, dont ask Y

@tuffbear7603 3 жыл бұрын

LOL

@Sjb2077 3 жыл бұрын

Smart🤣 and funny. Loved it. 🇬🇧

@mohannadalsheikh2351 7 ай бұрын

LOL😂

@thatomofolo452 Жыл бұрын

1:21

@harry011984 10 ай бұрын

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