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Math Help - homogeneous integer equation

  1. #1
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    homogeneous integer equation

    prove that a^2 +b^2 = 3 (c^2 +d^2)

    i know that 3 l a^2 +b^2

    then can i say that 3 l a^2 and 3 l b^2?
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  2. #2
    Junior Member ignite's Avatar
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    Re: homogeneous integer equation

    Yes,you can actually.
    Any square either leaves a remainder 0 or 1 when divided by 3 ( never 2 ).So only possibility in this case is both leave remainder 0 when divided by 3.
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