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.

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) (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

--> cis(18) = cos(18) + i*sin(18)
cis(90) = i
cis(162)
cis(234)
cis(306)
----------
You'll have to make the diagram.

RELATED QUESTIONS
I have been given this question, can you help me out.Find all roots of the equation z5 =... (answered by Alan3354)

Find all roots of the equation z^5 = i, i.e. find the five values of i^1/5 and show... (answered by Alan3354)

Hey I have a table of values chart and I need to find out the equation that fits a linear (answered by Fombitz,ewatrrr)

I have been struggling to figure out this math problem and I was wondering if someone... (answered by Fombitz)

Hi, Just wondering if you could show me the steps of how to find all roots of the... (answered by CharlesG2)

Please could you help me with a question that I have been set. The question is the... (answered by vleith)

I am getting stuck please show the steps Find all roots of the equation z^5 = i, i.e.... (answered by Alan3354)

Please help me! I don't understand this at all!! I have been out of school sick for the... (answered by bucky)

I have 2 questions" 1)Find all values of θ that satisfy the equation over the... (answered by rothauserc)