Sunday, 13 October 2019

Complex equation

The problem says to solve the given complex equation:



z4[32i21+32i9+8(1+i)6]9=0



The solution is this:



cos(π8+kπ2)+isin(π8+kπ2),k=0,1,2,3



My problem is that I can't get this solution, I've tried multiple times to solve it but I always end up getting this solution:
z4=(i+3i)9



Could you help me with this? Thanks in advance.

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