Answer:
See below.
Step-by-step explanation:
x^5 = 1
x = 1^1/5.
We want the five complex roots of 1:-
Writing in polar form we have:
1 ^ 1/5 = cos(2πk/5) + isin(2πk/5)
The 5 solutions are found by setting k = 0, 1, 2, 3 and 4.
First one = cos 0 + i sin 0 = 1
Second = cos (2π/5 + isin(2π/5)
= 0.3090 + 0.9511i.
The other 3 can be calculated in the same way.
