Question

Start with x2 + 4x = 12 and complete the square, what is the equivalent equation?

Answer 1

(x + 2)² = 16

Explanation:

Given

x² + 4x = 12

To complete the square

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

x² + 2(2)x + 4 = 12 + 4, that is

(x + 2)² = 16