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Algebra 1 problem help:Completing the sqaure?

Solve x^2+7x=120 by completing the square, please show your work?

Thank you!

2 Answers

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  • sepia
    Lv 7
    4 years ago
    Favorite Answer

    x^2 + 7x = 120

    (x + 7/2)^2 - 529/4 = 0

    (x + 7/2)^2 = 529/4

    x + 3.5 = +/- 11.5

    Solutions:

    x = -15

    x = 8

  • 4 years ago

    Half the x-coefficient is 3.5, so we add the square of that to both sides. Then rearrange.

    .. x^2 +7x +3.5^2 = 120 +3.5^2

    .. (x +3.5)^2 = 132.25

    .. x +3.5 = ±11.5 . . . . . . . . take the square root of both sides

    .. x = -3.5 ± 11.5 . . . . . . . . add -3.5

    .. x = {-15, -8}

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