- #1

PsychonautQQ

- 784

- 10

## Homework Statement

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

## Homework Equations

(x^2 / a) + (y^2 / b) = 1 equation for an ellipse

## 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?