Ineed

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

  D.  (x-5)^2 = 36

Step-by-step 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

a = -3

Substitute...

3 (-3)^2

3 • (-3)(-3)

3 • 9 = 27