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2x2 system, x+y^2=y^3, y+x^2=x^3

Source: Mathematics Regional Olympiad of Mexico West 2016 P5

September 7, 2022
algebrasystem of equations

Problem Statement

Determine all real solutions of the following system of equations: x+y2=y3x+y^2=y^3 y+x2=x3y+x^2=x^3
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