Let’s practice solving the following rational equations.

  • \[\text{A1. } \frac{3x-2}{5-2x} = 0\] solution

  • \[\text{A2. } 1-\frac{6}{x} = -\frac{8}{x^2}\] solution

  • \[\text{A3. } \frac{2x+1}{6} = \frac{1}{x}\] solution

  • \[\text{A4. } \frac{1}{x+2}-\frac{1}{x-1} = \frac{2}{x^2-1}\] solution

  • \[\text{A5. } \frac{2x}{x+1}-\frac{3}{x+5} = \frac{-8x^2}{x^2+6x+5}\] solution

  • \[\text{A6. } \frac{4x-x}{3x+2}-\frac{1}{9x^2-4} = 0\] solution

  • \[\text{A7. } \frac{1}{x-4} = \frac{7}{x^2+x-20} \] solution

  • \[\text{A8. } \frac{x-5}{x^3+9x+27x+27} =0\] solution

  • \[\text{A9. } \frac{x^2-9}{x-3} = 4\] solution

  • \[\text{A10. } \frac{x^2+4x-5}{x-1} = \frac{x-2}{2}\] solution