Đáp án:
Giải thích các bước giải:
a) $ \frac{11}{x} = \frac{9}{x + 1} + \frac{2}{x - 4} \\\Leftrightarrow x (x + 1) (x - 4) ( \frac{11}{x} - \frac{9}{x + 1} - \frac{2}{x - 4} ) = 0 \\\Leftrightarrow x - 44 = 0 \\\Leftrightarrow x = 44$
b) $ \frac{14}{3x - 12} - \frac{2 + x}{x - 4} = \frac{3}{8 - 2x} - \frac{5}{8} \\\Leftrightarrow \frac{14}{ 3(x - 4) } - \frac{2 + x}{x - 4} = - \frac{3}{2 (x - 4) } - \frac{5}{8} \\\Leftrightarrow 24 (x - 4) ( \frac{14}{ 3 (x - 4) } - \frac{x + 2}{x - 4} + \frac{3}{ 2 (x - 4) } + \frac{5}{8} ) = 0 \\\Leftrightarrow 9x - 40 = 0 \\\Leftrightarrow x = \frac{40}{9} $
