Question

I need help ASAP!!

Consider the equation below.

x^2-10x-11=0

Determine which equation has the same solutions as the given equation.

A. (x-10)^2=36

B. (x-5)^2=21

C. (x-10)^2=21

D. (x-5)^2=36

Answer 1

D. (x-5)^2 = 36

Explanation:

If you add 11 to the given equation, you get ...

x^2 -10x = 11

Then you can add the square of half the x-coefficient to complete the square.

x^2 -10x +25 = 11 +25

(x -5)^2 = 36 . . . . simplify to the appropriate form