Can someone explain the concept of a quadratic equation?

So I'm doing math advancded placement and I'm on chapter 4 Quadratic and Polynomial Equation lesson 3 The Quadratic Formula. I know a quadratic equation is written in the form ax 2 + bx + c = 0. But thats pretty much it. Anyways if any one could explain the concept and maybe give a example or two that would be great

Quadratic equation is a squared plus b squared = c squared. It's used to find the lengh of three sides of a triangle.

The theory is the same as any other polynomial, and the Greeks found out that in a triangle, this formula holds true, irregardless of the varying types or lengths of the sides.

So by using the same method you use to solve a typical polynomial, you can solve this equation as well.

I haven't honestly seen the formula previously as you wrote it, though...and, to be honest, I took algebra (two years) trigonometry (one year) and pre-calculus (one year) so it could be that I didn't cover this aspect of the equation in question.

Er,

Actually, a squared plus b squared = c squared is the Pythagorean Theorem. And the proof only works to determine the length of the sides of a RIGHT triangle...

a squared plus bx plus c = 0 is a quadratic formula.

It's solved by using this formula:

x= -b +/- (square root (b2)) - 4AC

and then all divided by 2A.

It's said this way (if it helps)

'X equals the opposite of B, plus or minus the square root of B squared minus 4AC, all divided by 2A.

Here's an example:

x² - 4x - 5 = 0

to solve, substitute it into the formula I gave you.

(I'll upload it as a picture)

simplify,

then X= 5 or -1.

I just looked it over and it looks SO complicated but it's not.

Check out this site to help you:
http://www.teachersc...