I'm trying to teach myself complex analysis (I didn't have it in undergrad, and am doing my master's in France, where they all did have it in undergrad) with a book online, and one of the first exercises is causing me problems, as it isn't covered in the chapter. It's pretty trivial, so I probably should have learned it in some class a long time ago (maybe even in high school??), but I've never actually had to solve an equation like this. Here's the problem:
Find all solutions of $z^2 + 2z + (1-i) = 0$.
The answers given at the end of the book are in exponential form. I don't know many methods solving in this form, as I just learned a simple one from youtube.
Again, I'm sure it's terribly trivial, but if someone could show me how to solve this, that'd be great.