We have :
Take the 100-th root on both side to get :
What I don't understand is why they wrote
Show that the real part of any solution of must be 0.
Now in the book they solve it by starting: .
I understand the steps that follow it, however I don't understand that step. I referred to the definition of m-th roots of complex numbers, which says:
What am I missing? Thanks in advance.
Yes, thanks for the tip, I see it now. That was a typo on my part it should say , where I accidentally typed , then I copy-pasted the typo.
Now I'm having trouble understand a subsequent step, which I thought I understood.
They get all the way to . To me the it seems the denominator is 0 in the middle step, that's where my problem is, as I don't see how they made that substitution either.