Решебник по алгебре 8 класс Мерзляк ФГОС Задание 356

 

\[\boxed{\text{356\ (356).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ \ \ \ \ \ \ \ \ } \\ 3x + 2y = - 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ \ \ \ \ \ \ \ } \\ y = \frac{- 6 - 3x}{2} \\ \end{matrix} \right.\ \]

\[y = x^{2}\]

\[y = \frac{- 6 - 3x}{2}\]

\[Ответ:нет\ решений.\]

\[2)\ \left\{ \begin{matrix} y = x^{2} \\ x - 3y = - 3 \\ \end{matrix} \right.\ \text{\ \ \ \ }\]

\[\left\{ \begin{matrix} y = x^{2} \\ y = \frac{- 3 - x}{- 3} \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix} y = x^{2} \\ y = \frac{3 + x}{3} \\ \end{matrix} \right.\ \]

\[y = x^{2}\]

\[y = \frac{3 + x}{3}\]

\[Ответ:2\ решения.\]

\[\boxed{\text{356.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ \ \ \ } \\ y = 4x - 4 \\ \end{matrix} \right.\ \]

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

\[x^{2} - 4x + 4 = 0\]

\[(x - 2)^{2} = 0\]

\[x - 2 = 0\]

\[x = 2.\]

\[y = 2^{2} = 4.\]

\[y = x^{2}\]

\[y = 4x - 4\]

\[Ответ:(2;4).\]