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"?

Question

Mathematics

Dexter Knight

26 March, 10:27

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"?

+5

Answers (1)

Know the Answer?

Caylee Nelson · Answer 1

64

Step-by-step 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