Вопрос:

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

Ответ:

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

\[\left\{ \begin{matrix} y = x²\ \ \ \ \ \ \ \ \ \ \ \\ y = - 2x + 3 \\ \end{matrix} \right.\ \]

\[y = x²\]

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

\[y = - 2x + 3\]

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

\[(1):\ \ \ ( - 3;9);\]

\[(2):\ \ (1;1).\]

\[Ответ:x_{1} = - 3;\ \ x_{2} = 1.\]

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