Question

What number should be added to both sides of the equation to complete the square?

x² + + 12x = 11

Answer 1

Answer: 36

Explanation:

given:

x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x

2ab = 12x ⇒ 2(6)x

b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6)(x+6) = 47

Both sides must be added with 36. I took the test : ) Hope it helps.

Answer 2

36

Explanation:

Given

x² + 12x = 11

To complete the square

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

x² + 2(6)x + 36 = 11 + 36

(x + 6)² = 47