1. ## complex numbers equation

Hi everyone,
I am studying for my school exams and I found an equation with complex numbers that I am not able to solve.. Especially the first step.. I do not know where to start.
My opinion is, that the first step is to get away the fraction, but how..?

Thanks for any help. :)

2. ## Re: complex numbers equation

you could write $z=x+ i y$

and

$$\frac{x+i y}{1+(x-i y)}=3+4i$$

then solve for $x,y$