


\[\boxed{\text{353\ (353).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ x^{2} = x - 1\]
\[y = x^{2}\]
| \[x\] | \[1\] | \[2\] | \[3\] | \[- 1\] | \[- 2\] |
|---|---|---|---|---|---|
| \[y\] | \[1\] | \[4\] | \[9\] | \[1\] | \[4\] |
\[y = x - 1\]
| \[x\] | \[0\] | \[1\] |
|---|---|---|
| \[y\] | \[- 1\] | \[0\] |

\[Ответ:нет\ корней.\]
\[2)\ x^{2} - 2x - 3 = 0\]
\[x^{2} = 2x + 3\]
\[y = x^{2}\]
| \[x\] | \[1\] | \[2\] | \[3\] | \[- 1\] | \[- 2\] |
|---|---|---|---|---|---|
| \[y\] | \[1\] | \[4\] | \[9\] | \[1\] | \[4\] |
\[y = 2x + 3\]
| \[x\] | \[1\] | \[- 1\] | \[3\] |
|---|---|---|---|
| \[y\] | \[5\] | \[1\] | \[9\] |

\[Ответ:\ x = - 1;x = 3.\]
\[3)\ x^{2} = \frac{8}{x}\]
\[y = x^{2}\]
| \[x\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
|---|---|---|---|---|
| \[y\] | \[1\] | \[4\] | \[1\] | \[4\] |
\[y = \frac{8}{x}\]
| \[x\] | \[2\] | \[4\] | \[8\] | \[- 2\] | \[- 4\] | \[- 8\] |
|---|---|---|---|---|---|---|
| \[y\] | \[4\] | \[2\] | \[1\] | \[- 4\] | \[- 2\] | \[- 1\] |

\[Ответ:x = 2.\]

\[\boxed{\text{353.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = \frac{10x^{2} - 40}{x^{3} - 4x}\]
\[\frac{10x^{2} - 40}{x^{3} - 4x} = \frac{10\left( x^{2} - 4 \right)}{x\left( x^{2} - 4 \right)} = \frac{10}{x}\]
\[y = \frac{10}{x};\ \ при\ x \neq 2;\ \ x \neq - 2\]
| \[x\] | \[2\] | \[5\] | \[4\] | \[- 2\] | \[- 5\] | \[- 4\] |
|---|---|---|---|---|---|---|
| \[y\] | \[5\] | \[2\] | \[2,5\] | \[- 5\] | \[- 2\] | \[- 2,5\] |
