Question

find the roots of the following equation by factorisation x+1/x-1 -x-1/x+1 = 5/6;x is not equal to 1or -1​

Answer 1

Step-by-step explanation:

$\frac{x + 1}{x - 1} - \frac{x - 1}{x + 1} \\ \\ \frac{(x + 1)(x + 1)}{(x - 1)(x + 1)} + \frac{(x - 1)(x - 1)}{(x + 1)(x - 1)} \\ \\ \frac{ {x}^{2} + 2x + 1 }{ {x}^{2} - 1 } + \frac{ {x}^{2} - 2x + 1}{ {x}^{2} - 1 } \\ \\ \frac{( {x}^{2} + 2x + 1) - ( {x}^{2} - 2x + 1 )}{ {x}^{2} - 1} \\ \\ \frac{ {x}^{2} + 2x + 1 - {x}^{2} + 2x - 1 }{ {x}^{2} - 1 } \\ \\ \frac{4x}{ {x}^{2} - 1 }$