\[\boxed{\mathbf{977\ (977).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{1}{3}x² + 3x + 6 < 0\]
\[D = 9 - 8 = 1\]
\[x = \frac{- 3 + 1}{\frac{2}{3}} = - \frac{6}{2} = - 3\]
\[x = \frac{- 3 - 1}{\frac{2}{3}} = - \frac{12}{2} = - 6\]
\[Ответ:\ x = - 5;\ - 4.\]
\[2) - 4x^{2} + 3x + 1 \geq 0\]
\[D = 9 + 16 = 25\]
\[x = \frac{- 3 + 8}{- 8} = - \frac{1}{4}\]
\[x = \frac{- 3 - 5}{- 8} = 1\]
\[Ответ:x = 1.\]