Question

solve for x x+1/x+1 - x-1/x+1=5/6​

Answer 1

$answer \\ \frac{x + 1}{x + 1} - \frac{x - 1}{x - 1} = \frac{5}{6} \\ \frac{ (x + 1)(x - 1) - (x - 1)(x + 1 }{ {x}^{2} - 1} = \frac{5}{6}$

$\frac{( {x}^{2} - 1) - ( {x}^{2} - 1) } { {x}^{2} - 1} = \frac{5}{6}$

$\frac{ {x }^{2} - 1 - {x}^{2} + 1 }{ {x}^{2} - 1 } = \frac{5}{6}$

$\frac{0}{ {x}^{2} - 1 } = \frac{5}{6}$

$0 =5 ( {x}^{2} - 1) \\ 0 = 5 {x}^{2} - 1 \\ 1 = 5 {x}^{2} \\ \frac{1}{5} = {x}^{2}$

so your answer is

x=√1/5

Answer 2

Answer:

5x^2 - 24x - 5 = 0

》5x^2 - 25x + x - 5 = 0

》5x ( x - 5 ) + 1 ( x - 5 ) = 0

》( x - 5 ) ( 5x + 1 ) = 0

》( x - 5 ) = 0. or. ( 5x + 1 ) = 0

》 x = 5. or. x = - 1/5

The value of x is 5 or -1/5

Hope it helps you ..!!