Solve the following equation using the method of factorization and write its solution set: $\frac{x+1}{x-1} - \frac{x-1}{x+1} = \frac{5}{x}$

  • A
    $\{\frac{2}{5}, \frac{3}{5}\}$
  • B
    $\{-\sqrt{5}, \sqrt{5}\}$
  • C
    $\{-\sqrt{7}, \sqrt{13}\}$
  • D
    $\{-\sqrt{2}, \sqrt{4}\}$

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