SOLUTION: I have been given this question, can you help me out.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.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have been given this question, can you help me out.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.      Log On


   

Question 670502: I have been given this question, can you help me out.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) About Me  (Show Source):
You can put this solution on YOUR website!
I have been given this question, can you help me out.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.
-------------
i = cis(90) + n*360
root%285%2Ci%29+=+cis%2818%29+%2B+n%2A72
--> cis(18) = cos(18) + i*sin(18)
cis(90) = i
cis(162)
cis(234)
cis(306)
----------
You'll have to make the diagram.