How to complete the square (when solving quadratic equations)

Let's discuss completing the square method when we are solving quadratic equations! We learn how to solve quadratic equations in 9th grade algebra but when we cannot solve a quadratic equation by factoring, we will have to use either completing the square or the quadratic formula. In fact, there's a geometric meaning behind the term completing the "square".

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#math #algebra #mathbasics

[bprpmathbasics]

When should we use completing the square instead of the quadratic formula? 👇

[earlthepearl]

I have never seen this “box” approach to solving for X before. Pretty cool.

[MurseSamson]

Awesome. Thanks for the history video as well. I can see based on this how geometry lead to algebra, and eventually conundrums like "+- √x" that lead to the use of the plot graph solutions & proofs, and eventually, calculus.

What a great video! Would love to see more of these historically contentious math terms!

[Monitorbread]

this is the best math channel ever and made understanding the whole completing the square so easily. thank you so much for making these cool videos

[kambaakapanga]

On point, not too much talking. Great video. Thank you

[kganyamphahlele]

Fantastic explanation. Thank you, sir.

[EverythingIsLit]

This would have made it so much easier to conceptualize in school!

[EdwardCurrent]

Brilliant explanation. I'm so jealous of kids today -- and teachers today! -- who can get these great explanations and learning methods at home for free. This geometric demonstration reminded me of 3blue1brown's geometric treatments of linear algebra. So cool.

[ratty_robloxian]

Hey, I love your videos! You actually helped me pass my maths exam with a random exercise, and I thank you alot!!
(keep the good work up, love ur channel🔥🔥💯)

[yakkoindy]

damn who knew that actually explaining the concept instead of just listing steps aimlessly would make me actually fucking learn this concept 😭😭😭 thank you

[dikdndkshxnd]

Thank you thank you much you saved me from the exam

[AzureKyle]

This is a neat way of doing it. Of course, you could always do it algebraically, by subtracting 24 from both sides, getting x^2+10x-24, which can be factored out to (x-2) and (x+12), giving us the answers of x=2 and x=-12.

[SeegalMasterPlayz]

This was also visualised in my Mathematics B Edexcel International GCSE study text.

[liamathew]

i finally know why it is in fact called "complete the square"

[kmjohnny]

Quadratic solution now kinda makes sense geometrically - it's just a question if I want to add or remove from x square

[Areco]

can you please post the solution to sqrt(1/x^2 - 1/x^3) + sqrt(1/x - 1/x^3) = 1 without just squaring both side and making it very long.

[AyushTomar-wpis]

The equation i.e
((1/√(x!-1)+1/x^2)!
It surprisingly approaches to 0.999.
For x>2
lim
x→∞
I would really appreciate you if you check it and I would like to ask can this be constant which is mine?

[adamdevmedia]

I like to define perfect squares first and then you just use c=(b/2)^2 and see what's extra

[channelbuattv]

why do we always assume that x is greater than the number?

[ngocdo]

XX + 10X = 24
* XX + 10X - 24 = 0
24 = 2x12 = 3x8 = 4x6
12 - 2 = 4 + 6 = 10 = (b)
** 12: 12x12 + 10x12 - 24
144 + 120 - 24 # 0
-12:(-12x-12)+10(-12)-24
144 - 120 - 24 = 0
** 2: 2x2 + 10x2 - 24
4 + 20 - 24 = 0
*** X' = 2, X" = -12./.