Решите уравнение: (x+5)/(x-2)-5/(x-5)=(x-20)/(x-5)(x-2).

Ответ:

\[\frac{x + 5}{x - 2} - \frac{5}{x - 5} = \frac{x - 20}{(x - 5)(x - 2)}\]

\[x^{2} - 25 - 5x + 10 - x + 20 = 0\]

\[x² - 6x + 5 = 0\]

\[x_{1} + x_{2} = 6\]

\[x_{1} \cdot x_{2} = 5\]

\[Ответ:x = 1.\]