Разложите на множители: 7x^2+19x-6.

\[7x^{2} + 19x - 6 =\]

\[= 7\left( x - \frac{2}{7} \right)(x + 3) =\]

\[= (7x - 2)(x + 3).\]

\[D = 361 + 168 = 529 = 23^{2}\]

\[x_{1} = \frac{- 19 + 23}{14} = \frac{4}{14} = \frac{2}{7};\]

\[x_{2} = \frac{- 19 - 23}{14} = - 3.\]