\[\boxed{\mathbf{739\ (739).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ 7x² + 4x - a^{2} - 1 = 0\]
\[x_{1} + x_{2} = - \frac{4}{7} < 0\]
\[x_{1} \cdot x_{2} = \frac{- a^{2} - 1}{7} =\]
\[= - \frac{a^{2} + 1}{7} < 0\]
\[Ответ:верно.\]
\[2)\ x² + 6x + a² + 4 = 0\]
\[x_{1} + x_{2} = - 6 < 0\]
\[x_{1} \cdot x_{2} = a² + 4 > 0\]
\[Ответ:верно.\]