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