Help with conic sections?

Question

can someone identify this conic section and find the center and vertices?

25x^2+9y^2=225

Can you explain how you got the answers?

Thanks a lot

Answer 1

make the right side 1, by dividing by 225 on both sides

x^2/9 +y^2/25 =1

center is (0,0)

x-intercepts (-3,0) and (3,0)

y-intercepts (0,5) and (0, -5)