Algebra 75 - Completing the Square - part 1

Quadratic equations can be solved using the "zero product property" once the quadratic expression has been factored into a pair of linear expressions. However, until the development of a technique called "Completing the Square", only certain types of quadratics were possible to factor. Over one thousand years ago, this prompted mathematicians to search for a technique that could be used to solve any quadratic equation. The break-through in devising a general method for solving quadratic equations was the technique that came to be called "Completing the Square".

[mazharsher]

Salute salute salute and respect for you Dear Professor.
You are the reason of my interest in Mathemtics .
Proud of you .

[applemyomg]

Please keep posting! You guys are the most amazing math channel in the world!

[aayushijain]

The most underrated channel ..Deserves even larger no. of audience ...Awesome

[praveensagar]

2 months after uploading the vedio sir I know how hard it is to make a animation but at least upload two vedios per month or it will take my whole life to watch all the series

[MegaGroundSquirrel]

Wonderful! Always my favorite resource. Thanks!

[L_stackzzzz]

Very underrated, explains everything very clear and well

[mazharsher]

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But tell me what can i do for u, like how can i promote this channel,
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[MegaMementoMori]

I have always hated completing the square, as it muddles in inelegant and messy square roots. In a perfect world, only integers would exist, or at least only rational numbers, and truly Pythagoras was a wise man for trying to keep irrational numbers a secret and killing his student who exposed them.

[ignaciomoral]

im in highschool and didnt know that... thanks very much!!

[beknajmi]

Are you telling me someone did this 1000 years ago?
And how did I get here from watching history videos?

[glasssmirror]

Thank u Dear Professor 4 yr excellent explanation.However I need clarification at 11:34 u said we remove -2 on both sides by subtracting so once u sub 2 from left then u will have -4 and -2 on the right.

[revolutionnaman]

Correction: @11:34 '2' is getting added to both the sides not subtracted, the voice over and the doings of the algebraic procedures are not matching. Thank you.