Symmetry
VietaTheorem
SpecialEquation
USAMO
Intermediate
1973
Determine all roots, real or complex, of the following system
\begin{align}
x+y+z &= 3\\
x^2+y^2+z^2 &= 3\\
x^3+y^3+z^3 &= 3
\end{align}
The solution for this problem is available for
$0.99.
You can also purchase a pass for all available solutions for
$99.