IMO Shortlist 2014 problem N2


Kvaliteta:
  Avg: 0.0
Težina:
  Avg: 6.0
Dodao/la: arhiva
May 7, 2017
LaTeX PDF

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

(U.S.A.)

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