# complex number question..

• Jul 2nd 2011, 11:08 AM
transgalactic
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

?
• Jul 2nd 2011, 11:35 AM
Also sprach Zarathustra
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

המשפט היסודי של האלגברה – ויקיפדיה
• Jul 2nd 2011, 12:17 PM
transgalactic
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
• Jul 2nd 2011, 12:34 PM
$\displaystyle z^3=\overline z\Rightarrow\ z^4=z\overline z=constant=x+0i$