Question

solve the equation :-
(x+1÷x-1) - (x-1÷x+1) = 5/6​

Answer 1

Step-by-step explanation:

Now

x

1

=5+2

6

Thus the value of (x−

x

1

)

2

=((5 - 2

6

) - (5 + 2

6

))

2

=(4\sqrt{6})^2= 16×6 = 96

Thus the correct answer is 96.

Answer 2

DETAILED ANSWER

_________________________________

$\frac{x + 1}{x - 1} - \frac{x - 1}{x + 1}$

Taking LCM,

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

$\frac{ {x}^{2} + x + x + 1 - {x}^{2} - x - x - 1 }{ {x}^{2} - {1}^{2} }$

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

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

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

${x}^{2} = \frac{11}{5}$

$x = \sqrt{ \frac{11}{5} }$

⠀⠀⠀⠀⠀Hope it helped uh ❤