Question

What number must be added to complete the square?

x²-12x
6
O 36
none of the answer choices
O-6
O-36

Answer 1

36

Explanation:

To complete the square, we need to add half of the coefficient of the x term squared to the expression.

We need to make in the form of

(a-b)²=a²+2ab+b²

In this case, the coefficient of the x term is -12, so we need to add (-12/2)^2 = 36 to the expression.

x²-12x + 36 = (x-6)^2

Therefore, the number that must be added to complete the square is 36.