Решите уравнение 25x^3-10x^2+х=0

Ответ:

\[25x^{3} - 10x^{2} + x = 0\]

\[x \cdot \left( 25x^{2} - 10x + 1 \right) = 0\]

\[x \cdot (5x - 1)^{2} = 0\]

\[x = 0\ \ \ \ \ \ \ \ \ \ \ \ 5x - 1 = 0\]

\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = 1\ \ \]

\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{1}{5} = 0,2\]

\[Ответ:x = 0;\ \ x = 0,2.\]