Symmetry VietaTheorem SpecialEquation USAMO Intermediate
1973


Problem - 3453
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}

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