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Regional Olympiad - FBH 2013 Grade 11 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2013

September 24, 2018
number theoryequation

Problem Statement

Find all integers aa, bb, cc and dd such that a2+5b22c22cd3d2=0a^2+5b^2-2c^2-2cd-3d^2=0