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 ± √(644*1*12)]/2*1
= [8 ± √(6448)]/2
= [8 ± √16]/2
= [8 ± 4]/2
= 4 ± 2
= 4+2 or 42
= 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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