Решите уравнение: 6x^2 – 7x – 5 = 0.

\[6x^{2} - 7x - 5 = 0\]

\[D = 49 + 120 = 169 = 13^{2}\]

\[x_{1} = \frac{7 + 13}{12} = \frac{20}{12} = \frac{5}{3} = 1\frac{2}{3};\]

\[x_{2} = \frac{7 - 13}{12} = - \frac{6}{12} = - 0,5\]

\[Ответ:x = - 0,5;\ \ x = 1\frac{2}{3}.\]