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Math Help - Divisibility of polynomials

  1. #1
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    Divisibility of polynomials

    Find all pairs (a,b) that b^2 + ab +4 is divisible by a^2 + ab + 4. "a" and "b" are not the same numbers and are positive integers.

    Can someone please explain step by step how to solve it?
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  2. #2
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    Quote Originally Posted by David144 View Post
    Find all pairs (a,b) that b^2 + ab +4 is divisible by a^2 + ab + 4. "a" and "b" are not the same numbers and are positive integers.

    Can someone please explain step by step how to solve it?
    See this thread.

    I'm a bit suspicious that several different people have asked for a solution to this problem. I hope it isn't part of some current math competition?
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  3. #3
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    Quote Originally Posted by Opalg View Post
    I'm a bit suspicious that several different people have asked for a solution to this problem.
    As a matter of fact it is, but I can assure you that I'm not participating in that competition. Actually I can see a lot of problems from that competition here.
    Last edited by David144; November 3rd 2010 at 05:22 PM.
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