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Regional Olympiad - FBH 2015 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2015

September 23, 2018
algebrasystem of equations

Problem Statement

For real numbers xx, yy and zz, solve the system of equations: x3+y3=3y+3z+4x^3+y^3=3y+3z+4 y3+z3=3z+3x+4y^3+z^3=3z+3x+4 x3+z3=3x+3y+4x^3+z^3=3x+3y+4
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