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Math Help - [SOLVED] Completing the Square

  1. #1
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    [SOLVED] Completing the Square

    Solve by completing the square:

    -x+3x^2=-5

    I just can't seem to figure out how to get the answer after you've completed the square. FYI the answer is x=(1/6)+-[(sqrt59)/6)i]
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  2. #2
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    -x+3x^2=-5
    3x^2 - x = -5

    x^2 - \frac{x}{3} = -\frac{5}{3}

    x^2 - \frac{x}{3} + \frac{1}{36} = -\frac{5}{3} + \frac{1}{36}

    \left(x - \frac{1}{6}\right)^2 = -\frac{59}{36}

    x - \frac{1}{6} = \pm \frac{i \sqrt{59}}{6}

    x = \frac{1 \pm i \sqrt{59}}{6}
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