Question 43
Find all pairs of real numbers $(x, y)$ satisfying the following system:
$$
x + y^2 = y^3,
$$
$$
y + x^2 = x^3.
$$
$$
x + y^2 = y^3,
$$
$$
y + x^2 = x^3.
$$
MathNet 2014 Question 43
Math Olympiad Vault · MathNet 2014
Math Olympiad Vault · MathNet 2014