olymmath

ISL 2014 N2

    Determine all pairs (x,y)(x, y) of positive integers such that 7x2−13xy+7y23=∣x−y∣+1\sqrt[3]{7 x^{2}-13 x y+7 y^{2}}=|x-y|+1

    Official text Transcription from NuminaMath olympiads, checked word for word against the official paper. Quoted with source.

    Official text: IMO 2014 Shortlist booklet, page 10.

    Solutions

    Official solution Solution 1 by the IMO Problem Selection Committee

    The terms of the source let olymmath link to this solution but not copy it. Read the solution (IMO official site).

    Locator isl/2014/n2 · Tag YQ1RNNRTQR · Edit this page on GitHub · Keys: j next, k previous