ok so i was extremely bored in calculus class, and with my previous knowledge of how people made the ellipse and hyperbola equations... i tried to make an equation for this "definition"... and i couldn't do it.

since my mathematical imagination is limited, i was wondering if anyone knows whether that condition is even possible?

lemme rummage through my trash, i think i have the equation i ended up with, with center (0,0), foci (c,0) and (-c,0), and points (x,y)...

starting with:

i ended up with:

i couldn't isolate y, or even

, so i couldn't punch this into the calculator, so is this graphable?