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Math Help - i need some ideas

  1. #1
    Newbie
    Joined
    Sep 2008
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    24

    i need some ideas

    a, b, c -positive real numbers
    abc=1
    show that (a+b)/[2(a^7+b^7+c)]+(b+c)/[2(b^7+c^7+a)]+(c+a)/[2(c^7+a^7+b)]<=1
    thanks
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  2. #2
    Member courteous's Avatar
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    Hi,

    I would assume that you should make the nominator (top part of a fraction) a 1 (number one), whilst having the denominator (lower part) a positive number (which all in all is less than (or equal) to 1).

    You could've also denote the a^7 = x, etc.

    No concrete solution though.
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