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22 November, 12:07

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"?

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Answers (1)
  1. 22 November, 12:20
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    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.
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