Question

Determine which equation has the same solutions as the given equation. 2x2 − 12x − 50 = 0 A. (x − 3)2 = 34 B. (x − 6)2 = 19 C. (x − 6)2 = 31 D. (x − 3)2 = 16

Answer 1

hope this helps

Explanation:

Answer 2

Option A

Explanation:

`2x^(2)-12x-50=0\\ \\2x^(2)-12x = 50\\`

Divide through by 2

`x^(2) - 6x = 25`

`But, x^(2) - 6x = (x-3)^(2) - 9\\ \\So, x^(2) - 6x = 25`

Now becomes,

`(x-3)^(2) -9=25\\\\(x-3)^(2)=25+9=34\\\\(x-3)^(2)=34`