\[\boxed{\text{187\ (187).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\(а)\frac{8}{x} = x^{2}\)
\[\left\{ \begin{matrix} y = \frac{8}{x}\text{\ \ } \\ y = x^{2} \\ \end{matrix} \right.\ \]
\[y = \frac{8}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[8\] | \[4\] | \[2\] | \[- 8\] | \[- 4\] | \[- 2\] |
\[y = x^{2}\]
\[x\] | \[- 3\] | \[- 2\] | \[- 1\] | \[0\] | \[1\] | \[2\] | \[3\] |
---|---|---|---|---|---|---|---|
\[y\] | \[9\] | \[4\] | \[1\] | \[0\] | \[1\] | \[4\] | \[9\] |
\[Ответ:\ \ x = 2.\]
\[\textbf{б)}\ \frac{8}{x} = x^{3}\]
\[\left\{ \begin{matrix} y = \frac{8}{x}\text{\ \ } \\ y = x^{3} \\ \end{matrix}\ \right.\ \]
\[y = \frac{8}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[8\] | \[4\] | \[2\] | \[- 8\] | \[- 4\] | \[- 2\] |
\[y = x^{3}\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|---|---|
\[y\] | \[- 8\] | \[- 1\] | \[0\] | \[1\] | \[8\] |
\[Ответ:x \approx \pm 1,7.\]