Найдите корни уравнения:2/(x-5)-4/(x+5)=3/(x^2-25).

\[\frac{2}{x - 5} - \frac{4}{x + 5} = \frac{3}{x^{2} - 25}\]

\[ОДЗ:\ \ x - 5 \neq 0;x \neq 5\]

\[\ \ \ \ \ \ x + 5 \neq 0;\ \ x \neq - 5\]

\[\frac{2 \cdot (x + 5) - 4 \cdot (x - 5)}{(x - 5)(x + 5)} =\]

\[= \frac{3}{(x - 5)(x + 5)}\]

\[2x + 10 - 4x + 20 = 3\]

\[- 2x = - 27\]

\[x = 13,5\]

\[Ответ:x = 13,5.\]