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Source: DeMO 2005, classes 11 and 12/13, 1st day, problem 1

May 9, 2005
algebrasystem of equations

Problem Statement

Find all pairs (x; y) of real numbers satisfying the system of equations x3+1−xy2−y2=0x^3 + 1 - xy^2 - y^2 = 0; y3−1−x2y+x2=0y^3 - 1 - x^2y + x^2 = 0. Darij
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