Question

$x + 1 \div x - 1 - x - 1 \div x + 1 = 5 \6xnot = 1 - 1$
​

Answer 1

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

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

$\frac{x²+2x+1-(x²+2x-1)}{x²-1}$=$\frac{5}{6}$

$\frac{4x}{x²-1}$=$\frac{5}{6}$

${24x=5x²-5}$

${5x²-24x-5=0}$

${5x²-25x+x-5=0}$.

${5x(x-5)+1(x-5)=0}$

${(x-5)(5x+1)}$

${x= 5}$,$\frac{-1}{5}$ ${Required answer}$