Posted by **Justin P** on Wednesday, January 18, 2012 at 10:34am.

What is a quadratic formula? how can i solve x^2 + 8x + 12 = 0 applying quadratic formula?

- Math -
**Steve**, Wednesday, January 18, 2012 at 11:15am
there is only one Quadratic Formula.

It allows you to compute the roots of any quadratic equation.

Given the equation ax^2 + bx + c = 0, the roots are given by

x = [-b ± √(b^2 - 4ac)]/2a

Now, you have

x^2 + 8x + 12 = 0

so, the two roots of this equation are

[-8 ± √(64-4*1*12)]/2*1

= [-8 ± √(64-48)]/2

= [-8 ± √16]/2

= [-8 ± 4]/2

= -4 ± 2

= -4+2 or -4-2

= -2 or -6

This can be verified by noticing that

x^2 + 8x + 12 = 0

(x+2)(x+6) = 0

x = -2 or -6

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