\[\boxed{\text{362\ (362).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ \sqrt{x} = 6 - x\]
\[\left\{ \begin{matrix} y = \sqrt{x}\text{\ \ \ \ } \\ y = 6 - x \\ \end{matrix} \right.\ \ \]
\[x\] | \[0\] | \[1\] | \[4\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[2\] |
\[x\] | \[0\] | \[1\] | \[4\] |
---|---|---|---|
\[y\] | \[6\] | \[5\] | \[2\] |
\[Ответ:x = 4.\]
\[\textbf{б)}\ \sqrt{x} = \frac{4}{x}\]
\[\left\{ \begin{matrix} y = \sqrt{x} \\ y = \frac{4}{x}\text{\ \ \ } \\ \end{matrix} \right.\ \]
\[x\] | \[0\] | \[1\] | \[4\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[2\] |
\[x\] | \[0\] | \[1\] | \[- 1\] | \[2\] | \[- 2\] | \[4\] | \[- 4\] |
---|---|---|---|---|---|---|---|
\[y\] | \[-\] | \[4\] | \[- 4\] | \[2\] | \[- 2\] | \[1\] | \[- 1\] |
\[Ответ:x \approx 2,5,\]
\[\textbf{в)} - x - 5 = \sqrt{x}\]
\[\left\{ \begin{matrix} y = - x - 5 \\ y = \sqrt{x}\text{\ \ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]
\[x\] | \[0\] | \[- 5\] | \[- 2\] |
---|---|---|---|
\[y\] | \[- 5\] | \[0\] | \[- 3\] |
\[x\] | \[0\] | \[1\] | \[4\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[2\] |
\[Ответ:общих\ точек\ нет.\]