\[x² - 5x - 24 = 0\]
\[x_{1} + x_{2} = 5;\ \ x_{1} \cdot x_{2} = - 24\]
\[x_{1} = 8;\ \ \ \ \ \ \ x_{2} = - 3.\]
\[Ответ:x = 8;\ x = - 3.\]