Решите уравнение: 5/(x+7)-3/(x-7)=0.

Ответ:

\[\frac{5^{\backslash x - 7}}{x + 7} - \frac{3^{\backslash x + 7}}{x - 7} = 0\]

\[\frac{5 \cdot (x - 7) - 3 \cdot (x + 7)}{(x + 7)(x - 7)} = 0;\ \ \ \ \ \ \ \]

\[x \neq 7;\ \ \ x \neq - 7\]

\[5x - 35 - 3x - 21 = 0\]

\[2x - 56 = 0\]

\[2x = 56\]

\[x = 28.\]

\[Ответ:x = 28.\]