SOLUTION: Find all solutions of the equation x^5=i. Give all answers in exact form.

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Question 690356: Find all solutions of the equation x^5=i.
Give all answers in exact form.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of the equation x^5=i.
Give all answers in exact form.
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z = i = 1cis(90 + n*360) n = 0...4
root%285%2Cz%29+=+cis%2818+%2B+n%2A72%29 n = 0...4
= cis(18) = cos(18) + isin(18)
= cis(90) = i
= cis(162)
= cis(234)
= cis(306)