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BMT 2022 Guts #13

Source:

August 31, 2023
algebrasystem of equations

Problem Statement

Real numbers xx and yy satisfy the system of equations x3+3x2=−3y−1x^3 + 3x^2 = -3y - 1 y3+3y2=−3x−1.y^3 + 3y^2 = -3x - 1. What is the greatest possible value of xx?
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