Question

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

2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answer 1

The second option is your answer 2x2+8x-24

Answer 2

Answer: B)
`2x^2 + 8x-24 = 0`

Step-by-step explanation: We are given solutions x = -6 and x = 2.

Therefore, factors of the equation would be

x+6 and x-2.

So, the equation would be in form:

(x+6)(x-2)=0

By foil, we get

`x^2 -2x +6x -12=0`

Combining like terms, we get

`x^2+4x-12=0`

Let us check 2nd option now.

`2x^2 + 8x-24 = 0`

Factoring out 2, we get

`2(x^2+4x-12)=0`.

Therefore, correct option is 2nd option.

`2x^2 + 8x-24 = 0`