complex number question..

http://i52.tinypic.com/2yos7j4.jpg

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

?

Re: complex number question..

Quote:

Originally Posted by

**transgalactic** http://i52.tinypic.com/2yos7j4.jpg
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

Hebrew link:

המשפט היסודי של האלגברה – ויקיפדיה

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

Re: complex number question..

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

Re: complex number question..