Решебник по алгебре 9 класс Мерзляк Задание 858

\[\boxed{\mathbf{858\ (858).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[x + 6,\ \ \ x + 2,\ \ \ 3x - 4\]

\[(x + 2)^{2} = (x + 6)(3x - 4)\text{\ \ }\]

\[x^{2} + 4x + 4 = 3x^{2} - 4x +\]

\[+ 18x - 24,\]

\[2x² + 10x - 28 = 0\ \ \ \ |\ :2\]

\[x^{2} + 5x - 14 = 0\]

\[x_{1} + x_{2} = - 5;\ x_{1} = - 7\]

\[x_{1}x_{2} = - 14;\ x_{2} = 2\]

\[при\ x = - 7:\ \ \]

\[- 7 + 6 = - 1,\ \ - 7 + 2 = - 5,\]

\[\ \ 3 \cdot ( - 7) - 4 = - 25;\]

\[при\ x = 2:\ \ \]

\[2 + 6 = 8,\ \ 2 + 2 = 4,\]

\[\ \ 3 \cdot 2 - 4 = 2.\]

\[Ответ:x = - 7 \Longrightarrow \ b =\]

\[= - 1,\ - 5,\ - 25\ \ \ или\ \ \ \]

\[x = 2 \Longrightarrow b = \ 8,\ 4,\ 2.\]