Question

Slove for 'x' x/x+1 +x+1/x=34/15

Answer 1

4e885ttdfijy8488યઃફિગી

Answer 2

⛤HERE IS YOUR ANSWER⛤

$\frac{x}{x + 1} + \frac{x + 1}{x} = \frac{34}{15} \\ or \: \: \frac{ {x}^{2} + {x}^{2} + 2x + 1 }{ {x}^{2} + x } = \frac{34}{15} \\ or \: \: 15(2 {x}^{2} + 2x + 1) = 34( {x}^{2} + x) \\ or \: \: 30 {x}^{2} + 30x + 15 = 34 {x}^{2} + 34x \\ or \: \: 4 {x}^{2} + 4x - 15 = 0 \\ or \: \: 4 {x}^{2} + 10x - 6x - 15 = 0 \\ or \: \: 2x(2x + 5) - 3(2x + 5) = 0 \\ or \: \: (2x + 5)(2x - 3) = 0 \\ or \: \: (x + \frac{5}{2} )(x - \frac{3}{2} ) = 0$

So, the required solution is
$x = - \frac{5}{2} \: \: \: and \: \: \: x = \frac{3}{2}$

⛤HOPE THIS HELPS YOU⛤