Answer
$x=-1$ and $x=2$
Work Step by Step
The given equation is
$x^2-x-2=0$
Graph the related function.
$f(x)=x^2-x-2$
The $x-$intercepts are $-1$ and $2$.
Check $x=-1$.
$\Rightarrow x^2-x-2=0$
$\Rightarrow (-1)^2-(-1)-2=0$
$\Rightarrow 1+1-2=0$
$\Rightarrow 2-2=0$
$\Rightarrow 0=0$
True.
Check $x=2$.
$\Rightarrow x^2-x-2=0$
$\Rightarrow (2)^2-(2)-2=0$
$\Rightarrow 4-2-2=0$
$\Rightarrow 4-4=0$
$\Rightarrow 0=0$
True.
Hence, the solutions are $x=-1$ and $x=2$.
