Решите уравнение: 6x^2 + 5x – 14 = 0.

\[6x^{2} + 5x - 14 = 0\]

\[D = 25 + 336 = 361 = 19^{2}\]

\[x_{1} = \frac{- 5 + 19}{12} = \frac{14}{12} = \frac{7}{6} = 1\frac{1}{6};\]

\[x_{2} = \frac{- 5 - 19}{6} = - \frac{24}{6} = - 4\]

\[Ответ:x = - 4;\ \ x = 1\frac{1}{6}.\]