Hello,

I need to find the relationship bewteen the power (n) in the equation : Z^n = a+bi , where |a+bi|=1 ...is it possible ? (Something other than De Moiver's theorem).

Thanks.

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- Sep 27th 2011, 05:33 AMHyunqulRoots of complex numbers
Hello,

I need to find the relationship bewteen the power (n) in the equation : Z^n = a+bi , where |a+bi|=1 ...is it possible ? (Something other than De Moiver's theorem).

Thanks. - Sep 27th 2011, 06:26 AMPlatoRe: Roots of complex numbers
- Sep 27th 2011, 07:11 AMHyunqulRe: Roots of complex numbers
Oh sorry , I missed that :

the relation bewteen the power (n) in the equation : Z^n = a+bi and the roots of Z (Solutions to the equation) , where |a+bi|=1 .... I need a general pattern relating them. - Sep 27th 2011, 07:27 AMPlatoRe: Roots of complex numbers
- Sep 27th 2011, 12:04 PMHyunqulRe: Roots of complex numbers
and there's no other mathematical relationship or pattern between them?

- Sep 27th 2011, 12:08 PMPlatoRe: Roots of complex numbers
- Sep 27th 2011, 07:52 PMHyunqulRe: Roots of complex numbers
so if I started with adding the roots of an equation of Z^n=a+bi , where |a+bi|=1 .... I wil lbe able to fing a pattern?

- Sep 27th 2011, 08:06 PMPlatoRe: Roots of complex numbers
- Sep 28th 2011, 05:47 AMHyunqulRe: Roots of complex numbers
aha ... but do you mean with "no comment" taht there is no known pattern for this ... or you want me to show my work I done first ?

- Sep 29th 2011, 10:55 PMmr fantasticRe: Roots of complex numbers
- Sep 30th 2011, 03:36 AMmr fantasticRe: Roots of complex numbers
Asked here: http://www.mathhelpforum.com/math-he...de-187045.html

Thread closed.