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Thread: After using the rule of the difference of cubes, how many x's can yo.:Resolved:.

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    Hyperactive Member voidflux's Avatar
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    Question After using the rule of the difference of cubes, how many x's can yo.:Resolved:.

    Hello everyone, I had a question, I need to solve for all the x values, to find the x-intercepts.
    If i had an equation like the following:
    (x^4-x) = 0;
    so i factor out an x
    x(x^3 - 1) = 0;
    now i have to use the differences of cubes formula:
    x^3-a^3 = (x-a)(x^2+ax+a^2);
    so u would have
    x(x-1)(x^2 + x + 1);
    so u have
    x = 0, x = 1, but what do u do about the x^2+x+1?
    I tried the quadratic equation and i get a - in the square root so what does this mean?
    Thanks for listening,
    Last edited by voidflux; Sep 9th, 2003 at 09:02 PM.
    C¤ry Sanchez
    Computer Science/Engineering
    @ Penn State
    IBM.zSeries Intern
    Mandriva 2007

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