\[\boxed{\text{611\ (611).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ \frac{6}{x} = x\]
\[\left\{ \begin{matrix} y = \frac{6}{x} \\ y = x \\ \end{matrix} \right.\ \]
\[y = \frac{6}{x}\]
\[x\] | \[1\] | \[2\] | \[3\] | \[6\] | \[- 1\] | \[- 2\] | \[- 3\] | \[- 6\] |
---|---|---|---|---|---|---|---|---|
\[y\] | \[6\] | \[3\] | \[2\] | \[1\] | \[- 6\] | \[- 3\] | \[- 2\] | \[- 1\] |
\[y = x\]
\[x\] | \[0\] | \[1\] | \[5\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[5\] |
\[x_{1} = - 2,5;\ \ x_{2} = 2,5\]
\(\ \)
\[Ответ:x = \left\{ - 2,5;2,5 \right\}.\]
\[\textbf{б)}\ \frac{6}{x} = - x + 6\]
\[\left\{ \begin{matrix} y = \frac{6}{x} \\ y = - x + 6 \\ \end{matrix} \right.\ \]
\[y = \frac{6}{x}\]
\[x\] | \[1\] | \[2\] | \[3\] | \[6\] | \[- 1\] | \[- 2\] | \[- 3\] | \[- 6\] |
---|---|---|---|---|---|---|---|---|
\[y\] | \[6\] | \[3\] | \[2\] | \[1\] | \[- 6\] | \[- 3\] | \[- 2\] | \[- 1\] |
\[y = - x + 6\]
\[x\] | \[0\] | \[1\] | \[5\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[5\] |
\[x_{1} \approx 1,4;\ \ x_{2} \approx 5\]
\(\ \)
\[Ответ:x = \left\{ 1,4;5 \right\}\text{.\ }\]