Answer
$-3,~2$
Work Step by Step
For the equation $x^2 +x -6= 0$ we use the quadratic formula as follows
$$
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
\\
a=1, \quad b=-1, \quad c=-6
.$$
That is, $$ x=\frac{-1 \pm \sqrt{1+24}}{2 }=\frac{-1 \pm5}{2 }= -3, \ or, \ 2
.$$
Check the result:
$$
3^2-3-6=9-9=0, \quad
2^2+2-6=6-6=0.
$$
