Question

Which equation is true for x = –6 and x = 2?

A.2x^2 – 16x + 12 = 0
B.2x^2 + 8x – 24 = 0
C.3x^2 – 4x – 12 = 0
D.3x^2 + 12x + 36 = 0

Answer 1

Answer: $x^{2} +4x - 12 = 0$

Step-by-step explanation:

To find the quadratic equation when the roots are given , we will use the formula:

$x^{2} -$ sum of roots$(x)$ + product of roots = 0

sum of roots = -6 + 2 = -4

product of roots = -6(2) = -12

substituting into the formula, we have

$x^{2} - (-4) +(-12) = 0$

$x^{2} +4x - 12 = 0$