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Math Help - Graphical solutions to x^3 - 8x + 1 = 1

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    Graphical solutions to x^3 - 8x + 1 = 1

    use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. all solutions lie between -10 and 10
    x^3 - 8x + 1 = 1
    Last edited by mr fantastic; September 14th 2010 at 03:14 PM. Reason: Re-titled.
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    Quote Originally Posted by blfan View Post
    use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. all solutions lie between -10 and 10
    x^3 - 8x + 1 = 1
    What kind of calculator do you have? You can either graph y = x^3 - 8x + 1 and y = 1 simultaneously and find intersection points, or graph y = x^3 - 8x and find roots.
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    Quote Originally Posted by blfan View Post
    use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. all solutions lie between -10 and 10
    x^3 - 8x + 1 = 1
    This one isn't too hard to solve algebraically but nonetheless put the graph of x^3-8x=0 and look for y intercepts which will be the roots of the equation.

    Algebra gives solutions of 0, 2\sqrt{2}, -2\sqrt{2}

    See attached graph (done in kmplot) Attachment 18921
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