Question

The value of x on solving x/x-1+ x-1/x= 5/2​

Answer 1

Answer

$\frac{x}{x - 1} + \frac{x - 1}{x} = \frac{5}{2}$

$\frac{ {x}^{2} + {(x - 1)}^{2} }{ {x}^{2} } = \frac{5}{2}$

$2 {x}^{2} + 2 {x}^{2} - 2 - 4x = 5 {x}^{2}$

$4 {x}^{2} - 2 - 4x - 5 {x}^{2} = 0$

$- {x}^{2} - 4x - 2 = 0$

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

Answer 2

$\huge\tt\underline\purple{❯Answer❮</p><p> }$

╔════════════════════════╗

$\frac{x}{x - 1} + \frac{x - 1}{x} = \frac{5}{2}$

$\frac{ {x}^{2} + {(x - 1)}^{2} }{ {x}^{2} } = \frac{5}{2}$

$2 {x}^{2} + 2 {x}^{2} - 2 - 4x = 5 {x}^{2}$

$4 {x}^{2} - 2 - 4x - 5 {x}^{2} = 0$

$- {x}^{2} - 4x - 2 = 0$

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