Standard Equation of an Ellipse
I am having trouble finding the standard form of an ellipse, being given the following equation:
I know that I have to group terms and complete the square to make it fit the standard form of an ellipse:
So I get to this and have been stuck:
I don't think I can just factor out the 12, and have , so I tried factoring out the 36:
in which I got <---which I got from
So then I get
Does this mean that ? Is that even possible? And if so, does this mean that the center is ?
In this case then, the major axis is vertical, correct? So the foci would be and the vertices would be and ?
Compared to what we've been learning in class (even though we haven't really even talked about it all that much), this all just seems too complicated to be correct, so I was didn't know if there was just something I was doing wrong or overthinking something.
Any help would be appreciated.