Answer:
36
Step-by-step 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
Answer: 36
Step-by-step 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.
