Answer
Foci: $(-4, -3+\sqrt{35})$ and $(-4, -3-\sqrt{35})$.
Work Step by Step
Bring to stadard form (divide with $36$)
$\displaystyle \frac{(x+4)^{2}}{1}+\frac{(y+3)^{2}}{36}=1$
(major axis vertical),
$a^{2}=36,$
$a=6$
$b^{2}=1$,
$b=1$
Center: $(-4, -3)$
$c^{2}=a^{2}-b^{2}=36-1=35,$
$c=\sqrt{35}\approx $5.916
Foci are $c$ units above and $c$ units below the center.
Foci: $(-4, -3+\sqrt{35})$ and $(-4, -3-\sqrt{35})$.
