Question

Complete the square for 2x2 - 4x = 14.

O A. (x + 1)2 = 8
O B. (x-1)2 = 8
O C. (2x - 1)2 = 15
© D. (2x - 2)2 = 30
Helppppp

Answer 1

B

Explanation:

Given

2x² - 4x = 14 ( divide through by 2 )

x² - 2x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 7 + 1

(x - 1)² = 8 → B