\[x^{2} + 6x - 187 = 0\]
\[D = 6^{2} - 4 \cdot 1 \cdot ( - 187) =\]
\[= 36 + 748 = 784;\ \ \ \ \sqrt{D} = 28.\]
\[x_{1} = \frac{- 6 + 28}{2} = \frac{22}{2} = 11;\ \ \ \ \ \]
\[x_{2} = \frac{- 6 - 28}{2} = \frac{- 34}{2} = - 17\]
\[Ответ:11;\ - 17.\]