Question

Which of the following is an equivalent equation obtained by completing the square of the expression below? x2+6x−8=0 A (x+3)2=8 B (x+3)2=17 C (x+3)2=1 D x2+6x+6=14

Answer 1

B

Explanation:

x² + 6x - 8 = 0 ( add 8 to both sides )

x² + 6x = 8

to complete the square

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

x² + 2(3)x + 9 = 8 + 9

(x + 3)² = 17