Решите графически уравнение: -0,5x^4=4x.

Question

Вопрос:

Ответ:

Accepted Answer

\[- 0,5x^{4} = 4x\]

\[\left\{ \begin{matrix} y = - 0,5x^{4} \\ y = 4x\ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[4x + 0,5x^{4} = 0\]

\[x\left( 4 + 0,5x^{3} \right) = 0\]

\[x = 0\ \ \ \ \ \ \ \ \ \ \ 0,5x^{3} = - 4\]

\[\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }x^{3} = - 8\]

\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 2\]

\[y = - 0,5x^{4}\]

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

\[y = 4x\]

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

\[Ответ:\ \ \ (0;0);\ \ ( - 2;\ - 8).\]