Question

Solve the following inequality:
$\frac{0.5}{x-x^2-1}<0$

Answer 1

$\frac{0.5}{x-x^2-1}<0$

$\frac{1}{x^2-x+1}>0$

As discriminant of $x^2-x+1>0\forall xϵR.$

$\frac{1}{x^2-x+1}>0\forall xϵR$

$xϵR$