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Math Help - Solving an equation

  1. #1
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    Solving an equation

    Hi, i'm not sure if this in the right section so apologies if its not.
    Last edited by oli212; March 2nd 2008 at 04:24 PM.
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  2. #2
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    Quote Originally Posted by oli212 View Post
    Hi, i'm not sure if this in the right section so apologies if its not.

    I need to solve the X value for the following equation:

    4500 = -5X + 390X 30.

    Not sure how to go about this. Any help would be greatly appreciated.
    4500 = -5x^2 + 390x - 30

    Move everything to one side (aka, set to zero!)

    5x^2 - 390x + 4470 = 0

    Simplify this by dividing by five.

    x^2 - 78x + 894 = 0

    Now, use the quadratic equation.

    x = \frac{78 \pm \sqrt{78^2 - 4(894)(1)}}{2}
    x = \frac{78 \pm \sqrt{6084 - 3576}}{2}
    x = \frac{78 \pm \sqrt{2508}}{2}
    x = 39 \pm \sqrt{627}
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  3. #3
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    I see, many thanks for your help!
    Last edited by oli212; March 2nd 2008 at 04:25 PM.
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