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7 August, 02:21

What number should be added to both sides of the equation to complete the square?

x2 - 6x = 5

+4
Answers (2)
  1. 7 August, 03:00
    0
    9 should be added to complete the square

    Step-by-step explanation:

    1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.

    x^2 - 6x = 5

    2. Make sure that the coefficient of the x^2 term is 1.

    x^2 - 6x = 5

    3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

    x^2 - 6x + 9 = 5 + 9

    (x-3) ^2 = 14

    Therefore, 9 should be added to both sides to complete the square.
  2. 7 August, 05:32
    0
    9

    Step-by-step explanation:

    x^2 - 6x = 5

    Take the coefficient of x

    -6

    Divide it by 2

    -6/2 = - 3

    Square it

    (-3) ^2 = 9

    Add 9 to each side
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