Školjka

%V0 Nađite realna rješenja sustava jednadžbi: $$$\begin{gather*} x + y + z = 2\\ \left(x + y\right)\left(y + z\right) + \left(y + z\right)\left(z + x\right) + \left(z + x\right)\left(x + y\right) = 1\\ x^{2}\left(y + z\right) + y^2\left(z+x\right) + z^2\left(x+y\right) = -6 \text{.} \end{gather*} $$$