1. complex number question..

k=0,1,2,3 is when we find the roots of z^4

we dont have this situation
here
why they do it here
we equalize the angles
and the "r"s

??

so we have some value for the "r" and the angle
why k=0..3

its not finding roots of some z^4

?

2. Re: complex number question..

Originally Posted by transgalactic

k=0,1,2,3 is when we find the roots of z^4

we dont have this situation
here
why they do it here
we equalize the angles
and the "r"s

??

so we have some value for the "r" and the angle
why k=0..3

its not finding roots of some z^4

?
It because of Fundamental theorem of algebra - Wikipedia, the free encyclopedia

המשפט היסודי של האלגברה – ויקיפדיה

3. Re: complex number question..

yes i know it
for every complex root of a polinomial we got its coplex opposite

but its not the case here
we are not looking for roots of a polinomial

4. Re: complex number question..

$z^3=\overline z\Rightarrow\ z^4=z\overline z=constant=x+0i$

ahh ok