\[\boxed{\text{354\ (354).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ x^{2} = - 4x - 3\]
\[y = x^{2}\]
| \[x\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] | \[- 3\] |
|---|---|---|---|---|---|
| \[y\] | \[1\] | \[4\] | \[1\] | \[4\] | \[9\] |
\[y = - 4x - 3\]
| \[x\] | \[- 1\] | \[- 2\] | \[- 3\] |
|---|---|---|---|
| \[y\] | \[1\] | \[5\] | \[9\] |

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

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

\[Ответ:\ x = - 1.\]


