ГДЗ по алгебре 8 класс Макарычев ФГОС Задание 1247

\[\boxed{\text{1247.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]

\[\text{A\ }\left( a;\frac{1}{2601} \right)\ и\ \ \]

\[\text{B\ }(0,0625;b)\ \in y = x^{- 2}\]

\[y = x^{- 2} \Longrightarrow y = \frac{1}{x^{2}}\]

\[\left\{ \begin{matrix} \frac{1}{2601} = \frac{1}{a^{2}}\text{\ \ \ \ \ \ } \\ b = \frac{1}{(0,0625)^{2}} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]

\[\text{\ \ \ }\left\{ \begin{matrix} a² = 2601 \\ b = \frac{1}{\left( \frac{1}{16} \right)^{2}} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} a = \pm 51 \\ b = 256 \\ \end{matrix} \right.\ \]

\[Ответ:a = \pm 51,\ \ b = 256.\]