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23 December, 20:34

If using the method of completing the square to solve the quadratic equation x^2-4x+10=0, which number would have to be added to "complete the square"?

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  1. 23 December, 20:41
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    4

    Step-by-step explanation:

    Given

    x² - 4x + 10 = 0

    subtract 10 from both sides

    x² - 4x = - 10

    To complete the square

    add (half the coefficient of the x - term) ² to both sides

    x² + 2 ( - 2) x + 4 = - 10 + 4

    (x - 2) ² = - 6

    To complete the square add 4
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