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Math Help - Easy Proof Help

  1. #1
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    Easy Proof Help

    Problem Solved. Thank you for your quick reply!
    Last edited by Jimbobobo; October 31st 2007 at 02:16 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Jimbobobo View Post
    PROVE THE FOLLOWING:
    a^2 + b^2 = c^2 then; a or b can be divided by 3.
    1. Every square is congruent to 1 or 0 modulo 3, left to the reader to prove.

    2. If neither a^2 nor b^2 is congrent to 0 modulo 3, then c^2 is congruent
    to 2 modulo 3 which is not possible, hence at least one of a^2 or b^2 is
    congrent to 0 modulo 3.

    3. If x^2 is congruent to 0 modulo 3 then so is x, hence either a or b must
    be congrent to 0 modulo 3.

    RonL
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