Question

solve the equation (x+1upon x-1) -(x-1upon x+1) = 5upon 6​

Answer 1

Answer:

$\frac{x + 1}{x - 1} - \frac{x - 1}{x + 1} = \frac{5}{6} \\ \frac{ {(x + 1)}^{2} - {(x - 1)}^{2} } {(x + 1)(x - 1) } = \frac{5}{6} \\ \frac{4x}{ {x}^{2} - {1}^{2} } = \frac{5}{6} \\ 24x = 5( {x}^{2} - 1) \\ 5 {x}^{2} - 24x - 5 = 0 \\ 5 {x}^{2} - 25x + x - 5 = 0 \\ (5x + 1)( x - 5) = 0 \\ x = \frac{ - 1}{5} or5$