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Math

posted by on .

Solve by completing the square,
8x^2+4x-4=0

  • Math - ,

    divide by 8 and re-arrange
    x^2 + (1/2)x = 1/2
    x^2 + (1/2)x + 1/16 = 1/2 + 1/16
    (x + 1/4)^2 = 9/16
    x + 1/4 = ± 3/4
    x = -1/4 ± 3/4
    = 1/2 or -1

  • Math - ,

    Reiny,

    Im sorry but where is the 1/16 coming from?

  • Math - ,

    take half of the middle coefficient , the square it

    1/2 of 1/2 is 1/4
    1/4 squared is 1/16

    I added that to both sides, thus not changing the value of my equation.

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