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Solve the inequality (-1x-2+x^2)/(x-2+x^2)%0

Formulas

$\frac{\left(1+x\right)\left(x-2\right)}{2\left(x-1\right)+x\left(x-1\right)}\geq 0$

Step-by-step explanation

Problem

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

Factor the trinomial $-2+x+x^2$ finding two numbers that multiply to form $-2$ and added form $1$

$\begin{matrix}\left(-1\right)\left(2\right)=-2\\ \left(-1\right)+\left(2\right)=1\end{matrix}$

$\frac{\left(1+x\right)\left(x-2\right)}{2\left(x-1\right)+x\left(x-1\right)}\geq 0$