IMO Shortlist 2014 problem N2


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7. svibnja 2017.
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Determine all pairs (x, y) of positive integers such that \sqrt[3]{ 7x^2 - 13xy + 7y^2 } = |x - y| + 1 \text{.}

(U.S.A.)

Izvor: https://www.imo-official.org/problems/IMO2014SL.pdf