Решите графически систему уравнений: x^2+y^2=25; xy=12.

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Ответ:

Accepted Answer

\[\left\{ \begin{matrix} x^{2} + y^{2} = 25 \\ xy = 12\ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} x^{2} + y^{2} = 25 \\ y = \frac{12}{x}\text{\ \ \ \ \ \ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]

\[x^{2} + y^{2} = 5^{2}\]

\[окружность\ с\ центром\ (0;0)\ и\ R = 5.\]

\[y = \frac{12}{x}\]

\[x\]	\[- 6\]	\[- 4\]	\[- 2\]	\[2\]	\[4\]	\[6\]
\[y\]	\[- 2\]	\[- 3\]	\[- 6\]	\[6\]	\[3\]	\[2\]

\[Ответ:( - 4; - 3);( - 3; - 4);(3;4);(4;3).\]