Question

Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)2=4 C. (x−2)2=2 D. (x−1)2=3

Answer 1

(x-1)² = 3

Explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

• x²−2x − 2=0
• x²−2x + 1 - 3 =0
• (x - 1)² - 3 = 0
• (x - 1)² = 3

Correct choice is D