


\[\boxed{\mathbf{629\ (629).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[x^{2} - 2x = 0\]
\[x(x - 2) = 0\]
\[x = 0,\ \ x = 2\]
\[Ответ:x = 2;0.\]

\[x^{2} - 7 = 0\]
\[x^{2} = 7\]
\[x = \sqrt{7},\ \ x = - \sqrt{7}\ \]
\[Ответ:\ x = - \sqrt{7};\sqrt{7}.\]

\[\boxed{\mathbf{629}\mathbf{\text{.\ }}Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \sqrt{x} = - x - 1\]
\[y = \sqrt{x}\ \]
| \[x\] | \[0\] | \[1\] | \[4\] | \[9\] |
|---|---|---|---|---|
| \[y\] | \[0\] | \[1\] | \[2\] | \[3\] |
\[y = - x - 1\]
| \[x\] | \[1\] | \[- 1\] |
|---|---|---|
| \[y\] | \[- 2\] | \[0\] |

\[Ответ:нет\ корней.\]
\[2)\ \sqrt{x} = 2 - x\]
\[y = \sqrt{x},\ \ \]
\[y = 2 - x\]
| \[x\] | \[1\] | \[2\] |
|---|---|---|
| \[y\] | \[1\] | \[0\] |

\[Ответ:x = 1.\]
\[3)\ \sqrt{x} = \frac{1}{x}\]
\[y = \sqrt{x},\ \ \]
\[y = \frac{1}{x}\]
| \[x\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
|---|---|---|---|---|
| \[y\] | \[1\] | \[0,5\] | \[- 1\] | \[- 0,5\] |

\[Ответ:x = 1.\]