How do you find the eccentricity of 4x^2 + 16y^2 + 8x +64y +4 = 0
1. there exist a linear eccentricity . That's the eccentricity I've calculated.
2. there exist a numerical eccntricity . Obviously this is the eccentricity you've had in mind.
(Remark: I translated the technical terms literally from German so maybe the English expressions differ a bit)