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MathNet 1983 — Part 01 Question 19

Math Olympiad Vault · MathNet 1983 — Part 01

Question 19

Find all real solutions $x$, $y$ to
$$
y^2 = x^3 - 3x^2 + 2x, \quad x^2 = y^3 - 3y^2 + 2y.
$$