\[x^{2} - 9x + 11 = 0\ \]
\[x_{1} + x_{2} = 9\]
\[x_{1} \cdot x_{2} = 11\]
\[x_{1}^{2} \cdot x_{2} + x_{1} \cdot x_{2}^{2} =\]
\[= x_{1} \cdot x_{2}\left( x_{1} + x_{2} \right) = 11 \cdot 9 = 99\]