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finding the square x^2+16x=0

  • college math -

    Complete the Square:
    x^2 + 16x = 0
    x^2 + 16x + (16/2)^2 − (16/2)^2 = 0
    x^2 + 16x + 64 = 64
    (x + 8)^2 = 64
    x + 8 = + or - √64
    x + 8 = 8; x + 8 = -8
    Therefore:
    x = 0, −16

    Check with the original equation. It always helps to check your work!

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