Question

the complex fifth roots of 5

Answer 1

D:

Answer 2

we'll need serious digging for this :3

Answer 3

all complex numbers can be written in polar form.
so how about 5?

Answer 4

*snap* *snap*


...


you there @shoyos8 ?

Answer 5

Can you write as 5 = 5(cos 0 + i sin 0) ?

Answer 6

Right
Now, @shoyos8
do you know the complex root formula?

Answer 7

Looks something like this:\[x^n=c=r(\cos \theta+i \sin \theta) \rightarrow x=r^{\frac{ 1 }{ n }}(\cos{\frac{ \theta+2k \pi }{ n }}+isin{\frac{ \theta+2k \pi }{ n }})\]

Answer 8

where k=0,1,...,n-1

Answer 9

c is constant

Answer 10

@shoyos8