I’m having some troubles of calculating complex numbers where I need to deal with absolute values and inequalities. Here is an example I’ve been working on but I get stuck
I use z=x+iy And find 1/z = (x-iy)/(x^2+y^2)
Re(2/z) = 2x/(x^2+y^2) and Im(4/z) = (-4y)/(x^2+y^2)
If I just forget about the inequality and make it equal to 1. I get:
2x-i4y = x^2+y^2
Which is a circumference with a complex radius. Now I’m not sure what to do or if I’m going in the correct direction.
I hope you can help me.