Question

1/x+1-1/x-1=3 (x not equals to +-1) ch-4 Quadratic Equation​

Answer 1

Answer:

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

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

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

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

$3 {x}^{2} - 3 + 2 = 0$

$3 {x}^{2} - 1 = 0$

$3 {x}^{2} = 1$

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

$x = \frac{1}{ \sqrt{3} }$