Question

What number must you add to complete the square x^2+12x =16

A. 24

B. 12

C. 6

D. 36

Answer 1

D. 36 is the answer .. (ap ex)

Explanation:

Answer 2

D. 36

Explanation:

The square of half the x-coefficient must be added. That value is (12/2)² = 36.

_____

You're trying to create a trinomial of the form ...

... (a + b)² = a² +2ab +b²

where a = x, and 2b = 12.

The number you need to add is b² = (2b/2)² = (12/2)² = 36.