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Math Help - Inequality

  1. #1
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    Inequality

    My question is about the following inequality:

    If abc=1 and a,b,c different than 1, then prove

    \displaystyle \frac{a^{2}}{{(a-1)^{2}}}+\frac{b^{2}}{{(b-1)^{2}}}+\frac{c^{2}}{{(c-1)^{2}}}\ge 1
    Last edited by MaryDim; February 8th 2011 at 01:45 AM.
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  2. #2
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    Quote Originally Posted by MaryDim View Post
    My question is about the following inequality:

    If abc=1 and a,b,c different than 1, then prove

    \displaystyle \frac{a^{2}}{{(a-1)^{2}}}+\frac{b^{2}}{{(b-1)^{2}}}+\frac{c^{2}}{{(c-1)^{2}}}\ge 1

    .
    Last edited by tonio; February 8th 2011 at 12:38 PM. Reason: Correction
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