SOLUTION: Find all roots of the equation z^5 = i, i.e. find the five values of i^1/5 and show them on an Argand diagram

Question 876543: Find all roots of the equation z^5 = i, i.e. find the five values of
i^1/5 and show them on an Argand diagram
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find all roots of the equation z^5 = i, i.e. find the five values of
i^1/5 and show them on an Argand diagram
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z^5 = I = 1cis(90) + n*360, n = 0,1,2,3,4
z = 1cis(18, 90, 162, 234, 306) in degrees
z = cos(18) + isin(18), etc.
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--> pi/10, pi/2, 9pi/10, 13pi/10, 17pi/10 in radians
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