\[- x^{2} + 11x + 12 = 0\]
\[x^{2} - 11x - 12 = 0\]
\[x_{1} + x_{2} = 11;\ \ x_{1} \cdot x_{2} = - 12\]
\[x_{1} = - 1;\ \ x_{2} = 12.\]
\[Ответ:x = - 1;x = 12.\]