Вопрос:

Решите графически уравнение 3/x=x-2.

Ответ:

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

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

\[y = \frac{3}{x}\]

\[x\] \[0\] \[1\] \[2\] \[3\] \[- 1\] \[- 2\] \[- 3\]
\[y\] \[-\] \[3\] \[1,5\] \[1\] \[- 3\] \[- 1,5\] \[- 1\]

\[y = x - 2\]

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

\[Ответ:x_{1} = 3;\ \ \ x_{2} = - 1.\]


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