If using the method of completing the square to solve the quadratic equation

X^2 - 2x - 36 = 0, which number would have to be added to "complete the

square"?

1

Step-by-step explanation:

To complete the square, first you must make sure that the coefficient of the x^2 term is 1. Here you have x^2 - 2x - 36 = 0. Since the x^2 term is simply x^2, you do have a coefficient of 1 for the x^2 term.

To find the number you need to add to complete the square, take the coefficient of the x term. Divide it by 2. Then square it.

The x term is - 2x. The coefficient of the x term is - 2.

Take half of - 2 which is - 1.

Now square - 1 to get 1.

You need to add 1 to complete the square.