Answer
Foci: $( \pm \sqrt 8,0)=( \pm 2 \sqrt 2,0)$
Vertices : $( \pm 3,0)$
Work Step by Step
$x^2+9y^2=0$
Rewrite as $\frac{x^2}{9}+\frac{y^2}{1}=1$
$\frac{x^2}{(3)^2}+\frac{y^2}{(1)^2}=1$
$c^2=a^2-b^2=9-1=8$
$c=\sqrt 8$
Foci: $( \pm \sqrt 8,0)=( \pm 2 \sqrt 2,0)$
Vertices : $( \pm 3,0)$