1. The problem statement, all variables and given/known data Let |z+1| + |z-1| = 7 where z are complex numbers. Show that the solutions to this equation form an ellipse with foci at (+/-)1 2. Relevant equations (x^2 / a) + (y^2 / b) = 1 equation for an ellipse 3. The attempt at a solution I set z = a + bi and so |z-1| = ((a-1)^2 + b^2)^1/2 and analogously for |z+1|. I'm a bit confused now, if I square both sides I wind up with a big mess, how to I beat this into a form that's recognizable as an ellipse?