\[По\ теореме\ Виета:\]
\[x_{1} + x_{2} = - b;\ \ \ \ \]
\[x_{1} \cdot x_{2} = c.\]
\[x_{1} = - 11 - 2\sqrt{3};\]
\[x_{2} = - 11 + 2\sqrt{3}:\]
\[x_{1} + x_{2} =\]
\[= - 11 - 2\sqrt{3} - 11 + 2\sqrt{3} =\]
\[= - 22;\]
\[x_{1} \cdot x_{2} =\]
\[= \left( - 11 - 2\sqrt{3} \right)\left( - 11 + 2\sqrt{3} \right) =\]
\[= 121 - 12 = 109.\]
\[\Longrightarrow x² + 22x + 109 = 0.\]