Вопрос:

Решите графически уравнение: -4x^(-2)=x^2-5.

Ответ:

\[- 4x^{- 2} = x^{2} - 5\]

\[\left\{ \begin{matrix} y = - 4x^{- 2} \\ y = x^{2} - 5\ \\ \end{matrix}\text{\ \ \ \ \ \ \ \ \ \ \ \ } \right.\ \left\{ \begin{matrix} y = - \frac{4}{x^{2}}\text{\ \ \ \ \ } \\ y = x^{2} - 5 \\ \end{matrix} \right.\ \]

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

\[x\] \[- 2\] \[- 1\] \[1\] \[2\]
\[y\] \[- 1\] \[- 4\] \[- 4\] \[- 1\]

\[y = x^{2} - 5\]

\[x\] \[- 2\] \[- 1\] \[0\] \[1\] \[2\]
\[y\] \[- 1\] \[- 4\] \[- 5\] \[- 4\] \[- 1\]

\[Ответ:( - 2;\ - 1);\ ( - 1;\ - 4);\ \]

\[(1;\ - 4);\ (2;\ - 1).\]

Похожие