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.

it would be a on edgenuit y

the diagram below is your final answer