Proving the Quadratic Equation

Here I prove the quadratic equation from ax^2+bx+c=0. #algebratricks #quadraticequation #quadraticequations #quadratic #algebra #proofs #mathproblem

[sonicwaveinfinitymiddwelle]

This is why you should learn the reasoning behind formulas. I do get mostly all A's in mathematics but when asked to define how i did it i just say i used stuff written in textbooks and it actually has worked this far

[change]

This guy is on to something, no one turn a blind eye.

[Frieswithbruh]

people, share some love to this guy please he deserves it

[MainHarshit]

you are Euler 2.0
Keep it up and never stop uploading math vids. btw you earned a sub

[f_faction]

Bro I've been trying to prove that formula because [√(b2 - 4ac)] / 2a is the distance between the centre and one of the root but I can't find it.
I did not think of the perfect square root technique.
You're a cool guy!

[bjornfeuerbacher]

The derivation becomes a bit simpler in this way: at 3:33, multiply with 4a², then take the square root, use 2a (x + b/2a) = 2ax + b on the left hand side, subtract the b and divide by 2a. So you don't have to combine the fractions at 3:35 and again at 5:55.

[thectheb]

Well explained but I think you left some things like saying a has to be different from 0 when you divided everything by a. You also could have explained why the number of solutions depends on the sign of the V(b^2)-4ac.

[blayses]

This was very interesting and well explained!

[windps]

Way to go. The math teaching sounds like telling a fascinating story if you would like to inviting your listeners exploring the math realm. You are almost there...

[zonked]

Thanks for explaining the formula. I've never understood it before.

[popmcar]

Well your passion for math definitely shines through. It will take you far.

[incredabuilders]

my algebra teacher showed this way of deriving the quadratic formula on the last day of school and everyone was in awe

[keyboardvs]

Immediately subscribed. Its rare to encounter a genuine math lover online.

I occasionally come across math problems which I would love to share with you so that you'll have content to keep making videos.

If it sounds good to you, let me know where can I send them to you🙂

[nathanielthechung]

my algebra teacher once let my class do this exact problem for extra credit

[tipoima]

Wouldn't it be possible to just plug the formula for X back into quadratic? It should simplify to 0=0, no?

[theoslakk-]

when (x+b/2a)²= b²-4ac/2a is the equation, after you take the sqrt on both sides, shouldn't |x+b/2a| be the result on the left hand side?

[randomsearches]

I don't know why, but he is something special.

[codscoper]

came for the proof, stayed for the crooked writing and then continuing on the left side when you ran out of room. subbed.

[mastfamastfa]

thank u, that was the easiest way I've seen

[shafiqkhalil]

at 5:30 i don’t get why you don’t consider the positive and negative of the sqrt(4a^2)