Answer
$-1, -8$
Work Step by Step
Let $a$ and $b$ be the two numbers.
$ab=8$
$a+b=-9$
$a=-9-b$
$(-9-b)b=8$
$-9b-b^2=8$
$b^2+9b+8=0$
$(b+8)(b+1)=0$
$b=-1$ or $-8$
If $b=-1$, then $a=-8$.
If $b=-8$, then $a=-1$.
Therefore, the two numbers are $-1$ and $-8$.