01
Complex roots using polar
Find the three cube (
) roots of . Write your answer in the form
.
Solution
03
For
roots, always start by writing in exponential: Now use the roots formula:
Write out these roots by evaluating
at : Link to original
02
Complex roots using polar
Find each of the indicated roots.
(a) The four
roots of . (b) The three cube (
) roots of . Try to write your answer in
form if that is not hard, otherwise leave it in polar form.
Solution
07
(a)
For
roots, always start by writing in exponential: Now use the roots formula:
Write out these roots by evaluating
at :
(b)
For
roots, always start by writing in exponential: Now use the roots formula:
Write out these roots by evaluating
at : (The polar answers are acceptable too.)
Link to original