SOLUTION: (z+1)^4=1-i

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Question 1201844: (z+1)^4=1-i
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Use deMoivre's Theorem.



The "primary" 4th root of that expression is



The other 4th roots of the expression have the same magnitude and are spaced around the Argand plane at intervals of (2pi)/4 = pi/2 radians:





Subtract 1 from each of those expressions to find the values of z....


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