Given an ellipse C with foci f1=(0,0) and f2=(1,0) and the distances between an arbitrary point on C and its foci equals to 3.

I have to write down the equation in cartesian co-ordinates and polar co-ordinates..

For cartesian I've got [(x-0.5)^2] / (9/4) + (y^2) / (5/4) = 1

But I'm not sure if that's correct as I made calculations when it's meant to be as simple as writing it down

And I've no idea on the polar front...

Would be grateful of any help