(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey all. Im trying to get ready for my upcomming calculus exam, but Im kind of stuck here. I have to solve: arg((z+i)/(z-1))=3π/2

2. Relevant equations

ehm none

3. The attempt at a solution

Tried to fill in z=a+bi:

(a+bi+i)/(a-1+bi)

then multiply it with its conjugated complex

(a-1-bi)/(a-1-bi)

then I get:

(a^{2}-a-abi+abi-bi-b^{2}+ai-i-b)/(a^{2}-a-abi-a+1+bi+abi-bi+b^{2})

simplify:

=(a^{2}-a-b^{2}-b-bi+ai-i)/(a^{2}-2a+1+b^{2})..

sure, I got rid of the complex part in the denumerator, but I have no idea what to do next..any help would be appriciated

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# Homework Help: Argument of (z+i)/(z-1)=3pi/2

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