Mathematics: 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

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

tchase0616

24.01.2022

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

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

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

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

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