olymmath

INMO 2004 Problem 2

  • Answer

Suppose pp is a prime greater than 3 . Find all pairs of integers (a,b)(a, b) satisfying the equation

a2+3ab+2p(a+b)+p2=0a^{2}+3 a b+2 p(a+b)+p^{2}=0

Dataset text NuminaMath olympiads. Quoted with source.

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(-2k-1, k^2), (-3k-1, 0), (-(k+1)(3k+1), k^2), (-2k+1, -k^2), (-3k+1, 0), (3k-1, -k^2)

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