find all solutions of the given equation: (z+1)^4=1-i(adsbygoogle = window.adsbygoogle || []).push({});

im not sure if i did this right, but heres what i did

the first thing that i did was notice that

1-i = 2^1/2 * (cos (pi/4) + i*sin(pi/4))

then i found

z= [2^(1/2*1/4) * (cos (pi/4) + i*sin (pi/4) )^1/4] -1

then using de moivre's thrm

z= {2^3/4 *(cos [pi/16 +2k*pi/16] + i*sin[pi/16 + 2k*pi/16])}-1 ; k=0,1,2,3

does this look right?

thanks

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# Homework Help: Roots of a complex equation

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