6.068. $\left\{\begin{array}{l}x^{3}+y^{3}=7 \\ x^{3} y^{3}=-8\end{array}\right.$
## Solution.

According to Vieta's theorem, only the following options are possible:

1) $\left\{\begin{array}{l}x^{3}=8, \\ y^{3}=-1,\end{array} \quad\left\{\begin{array}{l}x_{1}=2 \\ y_{1}=-1\end{array}\right.\right.$
or $\quad 2)\left\{\begin{array}{l}x^{3}=-1, \\ y^{3}=8,\end{array},\left\{\begin{array}{l}x_{2}=-1, \\ y_{2}=2 .\end{array}\right.\right.$

Answer: $(2 ;-1)(-1 ; 2)$.