Question

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

Answer 1

Answer: B. 36

The complete square is (x+6)^2. It's missing the third term, which is 36 because 6 x 6 is 36.

Answer 2

B. 36

Step-by-step explanation

The given quadratic expression is:

`{x}^(2) + 12x = 16`

To complete the square we add the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add 36 to both sides of the equation to complete the square.

The correct answer is B.