SOLUTION: I am getting stuck please show the steps 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  -> Lesson -> SOLUTION: I am getting stuck please show the steps 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 878433: I am getting stuck please show the steps
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!
z^5 = 1cis(90) + n*360
-------
z = 1cis(18) + n*72
n = 0,1,2,3,4