# How do you solve the rational equation x / (x+1 ) - 1/x = 1?

$x = - \frac{1}{2}$
$\frac{x}{x + 1} - \frac{1}{x} = 1 \mathmr{and} \frac{{x}^{2} - \left(x + 1\right)}{x \cdot \left(x + 1\right)} = 1 \mathmr{and} {x}^{2} - x - 1 = {x}^{2} + x \mathmr{and} - x - 1 = x \mathmr{and} 2 x = - 1 \mathmr{and} x = - \frac{1}{2}$[Ans]