\[6p² - p - 2 = 0\]
\[D = ( - 1)^{2} - 4 \cdot 6 \cdot ( - 2) =\]
\[= 1 + 48 = 49\]
\[p_{1} = \frac{1 + \sqrt{49}}{2 \cdot 6} = \frac{1 + 7}{12} = \frac{8}{12} = \frac{2}{3}\]
\[p_{2} = \frac{1 - \sqrt{49}}{2 \cdot 6} = \frac{1 - 7}{12} =\]
\[= - \frac{6}{12} = - 0,5\]
\[Ответ:p = \frac{2}{3};\ p = - 0,5.\]