Question

Please help!! Detailed steps please! Thank you so much

Which equation is equivalalent to 2x²-24x-14=0
A. (x-6)²=50 B. (x-3)²=13 C. (x-3)²=20 D. (x-6)²=43

Answer 1

D

Explanation:

2x²-24x-14=0

2(x²-12x-7)=0

x²-12x-7=0

Expand A, B, C, D

A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]

actually from here you can see B, C are not correct

D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)