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

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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.

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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.

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

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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.

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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.

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👍 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.

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Depends on the student

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

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I need the titles of previous videos before this one

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

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Thank you!

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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.

[@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)

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10:35 example

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

[@majakmajokkhon6770]

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?

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

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Where are the other parts?

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

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

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

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1:21

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Being the first

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

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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

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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

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dont work

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