Question

If using the method of completing the square to solve the quadratic equation x 2 + 16 x + 24 = 0 x 2 +16x+24=0, which number would have to be added to "complete the square"?

Answer 1

64

Explanation:

given x² + 16x + 24 = 0

To complete the square

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

x² + 2(8)x + 64 + 24 = 64

(x + 8)² + 24 = 64