MathDB

system of equations

Source:

November 11, 2005

inequalitiesalgebra unsolvedalgebra

Problem Statement

Find all real solutions to: \begin{eqnarray*} 3(x^2 + y^2 + z^2) &=& 1 \\ x^2y^2 + y^2z^2 + z^2x^2 &=& xyz(x + y + z)^3. \end{eqnarray*}