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?