Symmetrical system of equations
Source: Canada Repêchage 2021/2 CMOQR
March 30, 2021
algebrasystem of equationsCanadarepechage
Problem Statement
Determine all integer solutions to the system of equations:
\begin{align*}
xy + yz + zx &= -4 \\
x^2 + y^2 + z^2 &= 24 \\
x^{3} + y^3 + z^3 + 3xyz &= 16
\end{align*}