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`

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`