Finding Fixed Points of a Mobius transformation

[tazzzdo]

Homework Statement

Find all the fixed points to the following Mobius transformation.

Homework Equations

m(z) = (2z + 5)/(3z - 1)

The Attempt at a Solution

Aren't all fixed points going to map to themselves? So shouldn't it be solving for m(z) = z and coming up with roots of a quadratic equation?

 

[HallsofIvy]

Well, I don't know what "it" should be doing but that is what I recommend you do.

 

[tazzzdo]

I meant I* lol. Thanks.