Question 49
Determine all real numbers $x$ and $y$ such that
$$
x^2 + x = y^3 - y.
$$
$$
y^2 + y = x^3 - x.
$$
$$
x^2 + x = y^3 - y.
$$
$$
y^2 + y = x^3 - x.
$$
MathNet 2014 Question 49
Math Olympiad Vault · MathNet 2014
Math Olympiad Vault · MathNet 2014