Complete the square to solve the equation below.

x2 - 10x - 2 = 17

A. x = 5 +; x = 5 -

B. x = 5 +; x = 5 -

C. x = 5 +; x = 5 -

D. x = 6 +; x = 6 -

We need to solve for the values of x by applying the method of completing the square in the given expression x² - 10x - 2 = 17. The solution is shown below:

x² - 10x - 2 = 17

Transpose - 2 to the right side such as:

x² - 10x = 17 + 2

Perform addition of 17 and 2

x² - 10x = 19

Add + 25 in both sides

x² - 10x + 25 = 19 + 25

x² - 10x + 25 = 44

(x-5) (x-5) = 44

Where (x-5) is a perfect square, then we have:

(x-5) ² = 44

x1 = + √44 - 5 = 1.6

x2 = - √44 - 5 = - 11.6

The answers are x1=1.6 and x2 = - 11.6.