Ecuaciones fraccionarias

5. Resuelve ${\displaystyle \frac{4}{x+1}}-{\displaystyle \frac{x+1}{x-1}}+{\displaystyle \frac{x^2-3}{x^2-1}}=0$.

Multiplica por el M. C. M., $x^2-1$, y tenemos,

Ejercicio 51.

Resuelve:

1. ${\displaystyle \frac{x-1}{2}}={\displaystyle \frac{x+1}{3}}$.

2. ${\displaystyle \frac{3x-1}{4}}={\displaystyle \frac{2x+1}{3}}$.

3. ${\displaystyle \frac{6x-19}{2}}={\displaystyle \frac{2x-11}{3}}$.

4. ${\displaystyle \frac{7x-40}{8}}={\displaystyle \frac{9x-80}{10}}$.

5. ${\displaystyle \frac{3x-116}{4}}+{\displaystyle \frac{180-5x}{6}}=0$.

6. ${\displaystyle \frac{3x-4}{2}}-{\displaystyle \frac{3x-1}{16}}={\displaystyle \frac{6x-5}{8}}$.

7. ${\displaystyle \frac{x-1}{8}}-{\displaystyle \frac{x+1}{18}}=1$.

8. ${\displaystyle \frac{60-x}{14}}-{\displaystyle \frac{3x-5}{7}}={\displaystyle \frac{3x}{4}}$.

9. ${\displaystyle \frac{3x-1}{11}}-{\displaystyle \frac{2-x}{10}}={\displaystyle \frac{6}{5}}$.

10. ${\displaystyle \frac{4x}{x+1}}-{\displaystyle \frac{x}{x-2}}=3$.

2 x +