[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 13 KB, 512x288, unnamed (1).png [View same] [iqdb] [saucenao] [google]
10572202 No.10572202 [Reply] [Original]

What is a good proof/visualization for the quadratic formula?

>> No.10572205

>proof
Take $0 = a x^2 + b x + c$ and find that the formula you posted solves this equation.

>> No.10572213

ax^2 + bx + c = 0

solve for x

>> No.10572217

I had an Indian friend in high school who could fart the quadratic equation on the morning after he’d had a curry for dinner. You could try that.

>> No.10572238

>>10572202
hint: complete the square, you can even draw that

>> No.10572272

>>10572202
completing the square
ax^2 + bx + c = 0
a(x+b/2a)^2 - b^2/4a + c = 0
(x+b/2a)^2 = (b^2 - 4ac)/4a^2
x + b/2a = +/- sqrt(b^2-4ac)/2a
x = [-b +/- sqrt(b^2 -4ac)]/2a