Вопрос:

Решите графически уравнение: -x^2=2x-3.

Ответ:

\[- x^{2} = 2x - 3\]

\[\left\{ \begin{matrix} y = - x^{2}\text{\ \ \ \ } \\ y = 2x - 3 \\ \end{matrix} \right.\ \]

\[y = - x²\]

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

\[y = 2x - 3\]

\[x\] 0 \[1\] \[- 3\]
\[y\] \[- 3\] \[- 1\] \[- 9\]

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

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

\[Ответ:x_{1} = 1;\ \ x_{2} = - 3.\]

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