How to Complete The Square….Step-by-Step….

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I never felt so confused the way that you explained this quadratic situation.

mariaplacencia

I think this explanation confused me more than helped! Solved it easily and was very confused by the solution modeled!

ggb

Excellent, best CTS video I've seen. Really appreciated the overview and contrasting of different approaches to solving a QE. You get a smiley face and four stars to make you feel extra special!

jamesmccamish

You're a very good teacher. I was never much for arithmetic, but I love mathematics. I think you do a great job of explaining how to do the problems.

MsChemicalEngineer

I remember this from school over 40 yrs ago. Remembering (a-b)^2=a^b-2ab+b^2 means forming a a^2-2ab+b^2 on one side. Funnily enough, my first instinct was to multiply by 2 to make 4x^2 etc. But factoring out 2 is easier lol. Thanks for reminding me of this technique. Isolating a^2-2ab to one side and adding +b^2 to both sides "completes the square".

danieldennis

I tried your MENU, bacon and egg, and it killed my logarithmic nemesis. What a teacher you are. Thanks for creating this platform where we could come and have a refreshing drink. Bravo!

twettiet

You know, this would make more sense if you taught it using an area model. This allows you to see why you divide the "b term" in half and square it. You should also consider doing a video on the Po-Shen Loh method for solving equations, making sure to use a graph when explaining it. You could also use an area model to introduce students to the P-Q Formula. I recently learned about it from people outside the U.S. It's like a condensed version of the Quadratic Formula. I prefer it.

chocolateangel

Understanding made easier ... Thank you

progresskuyeri

I just wrote -9x as -8x-x and did some algebra, but i understand your goal with this equation...good job!!

marcfirst

Thank you this is so much easy 4 me 😊

goddessqueen

I find it easier with the quadratic formula. However I wish to thank you for the video, outstanding as always. 👍😊

VRT

Thank you for another powerful video on Completing the Square, however, the square of four is 2. Since x is square, we have two solutions for these type of problems.

georgesadler

I don't remember using the CTS method while taking Algebra way back when, so I guess it's a new technique placed thereafter. Be that as it may, I don't see the purpose for it over factoring or the QF, since CTS is very sloppy and prone to mistakes.

israteeg

There is a technical issue with the way you handle square roots. The root sign refers only to the principal square root. For roots of positive real numbers this is of course the positive root. So √4=2 not ±2. The correct approach would be to say things such as x²=4⇒x=±√4=±2. To say √(x²)=√4 is true but eliminates one of the solutions and √(x²)=±√4 adds nothing to this as one principal root cannot be the negative of another.

TheMathManProfundities