Решите уравнение: (x+8)/(x-4)-4/(x-8)=(2x-56)/(x-4)(x-8).

\[(x + 8)(x - 8) - 4 \cdot (x - 4) =\]

\[= 2x - 56\]

\[x^{2} - 64 - 4x + 16 - 2x + 56 =\]

\[= 0\]

\[x^{2} - 6x + 8 = 0\]

\[x_{1} + x_{2} = 6;\ \ \ x_{1} \cdot x_{2} = 8\]

\[x_{1} = 4\ (не\ подходит),\ \ \]

\[x_{2} = 2\]

\[Ответ:x = 2.\]