Вопрос:

Решите графически уравнение: -x^2=x-6.

Ответ:

\[- x^{2} = x - 6\]

\[\left\{ \begin{matrix} y = - x^{2}\text{\ \ } \\ y = x - 6 \\ \end{matrix} \right.\ \]

\[y = - x²\]

\[x\] \[- 2\] \[- 1\] \[0\] \[1\] \[2\]
\[y\] \[- 4\] \[- 1\] \[0\] \[- 1\] \[- 4\]

\[y = x - 6\]

\[x\] \[2\] \[- 3\]
\[y\] \[- 4\] \[- 9\]

\[(1):\ \ (2;\ - 4);\]

\[(2):\ \ ( - 3;\ - 9).\]

\[Ответ:x_{1} = 2;\ \ x_{2} = - 3.\]

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