Question

x+1/x-1+x-1/x+1 = 3.
Solve the following equation for x,.​

Answer 1

$\frac{x + 1}{x - 1} + \frac{x - 1}{x + 1} = 3$

$\frac{(x + 1) {}^{2} + (x - 1) {}^{2} }{(x + 1)(x - 1)} = 3$

$\frac{ {x}^{2} + 1 + 2x + ( {x}^{2} + 1 - 2x)}{x {}^{2} - x + x - 1} = 3$

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

$2 {x}^{2} + 2 = 3 {x}^{2} - 3$

${x}^{2} = 5$

$x = \sqrt{5}$