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Thread: Inequality

  1. September 18th 2009, 09:55 AM #1
    james_bond
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    Inequality

    Prove that if a,b,c>0 then \frac {ab}{a^2+3b^2}+\frac {bc}{b^2+3c^2}+\frac {ac}{c^2+3a^2}\le \frac 34.
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  2. October 8th 2009, 08:27 AM #2
    james_bond
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    Any ideas? I've tried putting xyz=1 with x=\frac ab...
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