\[7x² + 6x + 1 = 0\]
\[D = 36 - 28 = 8\]
\[x_{1,2} = \frac{- 6 \pm \sqrt{8}}{14} = \frac{- 6 \pm 2\sqrt{2}}{14} =\]
\[= \frac{- 3 \pm \sqrt{2}}{7}.\]
\[Ответы:\ \ \frac{- 3 \pm \sqrt{2}}{7}\text{.\ }\]