\[x^{2} = - x + 6\]
\[\left\{ \begin{matrix} y = x²\ \ \ \ \ \\ y = - x + \\ \end{matrix} \right.\ \]
\[y = x²\]
| \[x\] | \[2\] | \[1\] | \[0\] | \[- 1\] | \[- 2\] |
|---|---|---|---|---|---|
| \[y\] | \[4\] | \[1\] | \[0\] | \[1\] | \[4\] |
\[y = - x + 6\]
| \[x\] | \[2\] | \[- 3\] |
|---|---|---|
| \[y\] | \[4\] | \[9\] |
\[(1):\ \ ( - 3;9);\]
\[(2):\ \ (2;4).\]

\[Ответ:x_{1} = 2;\ \ x_{2} = - 3.\]