[b]1. Let z be a complex variable. Describe the set of all z satisfying |z^2-z|<1.[\b]
I have a `brute force' solution, but it's really messy. Without a graphing utility, it would be nearly impossible to graph.
I just computed |z^2-z| in terms of x and y, and solved |z^2-z|=1 in this...