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

It’s will be 2x2 + 8x - 24 = 0 !!!

Answer 2

2x2 + 8x – 24 = 0

Explanation:

`2 {x}^(2) + 8x - 24 = 0 \\ lhs \\ =2 {x}^(2) + 8x - 24 ..(plug \: x = - 6) \\ 2 {( - 6)}^(2) + 8( - 6) - 24 \\ = 72 - 48 - 24 \\ 72 - 72 \\ = 0 \\ = rhs \\ \\ lhs \\ =2 {x}^(2) + 8x - 24 ..(plug \: x = 2) \\ 2 {( 2)}^(2) + 8( 2) - 24 \\ = 8 + 16 - 24 \\ 24 - 24 \\ = 0 \\ = rhs \\`