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Math Help - A divisibility problem 3

  1. #1
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    A divisibility problem 3

    Let a and b be positive integers such that (1+ab)|(a^2+b^2). Show that the integer (a^2+b^2)/(1+ab) must be a perfect square.
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  2. #2
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    Quote Originally Posted by eyke View Post
    Let a and b be positive integers such that (1+ab)|(a^2+b^2). Show that the integer (a^2+b^2)/(1+ab) must be a perfect square.
    see question #6 in IMO 1988.
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