Решите систему уравнений {2x(1+y+y2)=3(1+y4),2y(1+z+z2)=3(1+z4),2z(1+x+x2)=3(1+x4).\left\{ \begin{matrix} \begin{matrix} 2x\left( 1+y+{{y}^{2}} \right)=3\left( 1+{{y}^{4}} \right), \\ 2y\left( 1+z+{{z}^{2}} \right)=3\left( 1+{{z}^{4}} \right), \\ \end{matrix} \\ 2z\left( 1+x+{{x}^{2}} \right)=3\left( 1+{{x}^{4}} \right). \\ \end{matrix} \right.⎩⎨⎧2x(1+y+y2)=3(1+y4),2y(1+z+z2)=3(1+z4),2z(1+x+x2)=3(1+x4).