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Thread: Solve for x

  1. #1
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    Solve for x

    $\displaystyle
    x^3 - 2x^2 + 1 =0
    $

    I've tried using the quadratic formula but the only solution I am getting for x is 1. It is supposed to have solutions of approximately x=-0.62 and x=1.62 also, but where do you get these answers.

    Anyway, if anyone could show complete working out to see how I didn't get these solutions it will be appreciated!
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  2. #2
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    Well it is not a quadratic.
    Note that $\displaystyle x=1$ is a root so $\displaystyle (x-1)$ is a factor.
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  3. #3
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    Oh, yeah that's the factor theorem, right?
    So, you use the factor theorem to solve for cubic and higher degree equations?
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