Question 36318: Find all the fifth roots of (2+i).
Answer by cininnatus(12)   (Show Source):
You can put this solution on YOUR website! Use the fact that any complex number z has polar representation z=r*e^(i*theta)
You can find r with the pythagorean theorm and theta using trigonometry.
the roots will be given by: z^(1/n)=r^(1/n)e^(i*(theta+2pi*k)/n) where n is 5 and k is all the integers between 0 and n-1.
|
|
|
