if the vertices and foci of the equation below is in th form (-a,0) and (a,0) and (-c,0) and (c,0), respectively, find a+c.

this is an equation of ellipse
where
[tex]a=3,b=2[/tex]for ellipse
[tex]c^2=a^2-b^2[/tex]so
[tex]\begin{gathered} c^2=9-4 \\ c^2=5 \\ c=\pm\sqrt[]{5} \end{gathered}[/tex]hence
[tex]a+c=3\pm\sqrt[]{5}[/tex]