\[\ 4x² - 7x - 2 = 0\]
\[D = b^{2} - 4ac = 49 - 4 \cdot 4 \cdot ( - 2) =\]
\[= 49 + 32 = 81\]
\[x_{1} = \frac{7 - 9}{8} = - \frac{2}{8} = - \frac{1}{4}\]
\[x_{2} = \frac{7 + 9}{8} = \frac{16}{8} = 2\]
\[Ответ:x = - \frac{1}{4}\ \ \ и\ \ \ x = 2.\]