Recent content by Komandos

ya great i did that. And you u were right :P 1/n was missing, I forgot to type it ... Anyways thanks for everything! Really it was such a great help! :)

Yaa thanks :)) I know I said its the last question .. but apparaetly i wasnt done yet. So here's one more thing. Lets consider the equation: z^n= a+bi, where |a+bi| ≠ 1 Now if we want to find the general formula for the roots we will have: z= |a+bi|^1/n cis (∂+2kπ) , where...

Ok, so i have reached to some good results. However i still have a last question. What we know is that the product of the distances of an complex number equation is equal to the number of the roots of it. So that we have: if z^n=1 or if z^n = i n=|1-w||1-w^2 |…|1-w^(n-1)| That is a...

Aghh :/ ... ehm ok i have a different question. How can i find the roots using polar form for: z^n=i

I have good news! I found the answer! :) But i need to prove it now :/ Hope someone will help mee! Heres what i got: z=(1/n)*(a/√(a²+b²)+ib/√(a²+b²)) (I think its right) Thank you!

Wow thanks for the reply! :D Soo you i do, but in school we're used to the polar form : z=rcisθ ... I have already found a lot of things previously .. cause this question is divided into many parts .. these are the last two ... so if you need additional information i can give it to you :)

Homework Statement Hello everyone :) ok so that is a problem involving complex numbers and its a bit challenging, so i would be really glad if i could get some help with it! The problem is: Consider the complex equation z^n=a+bi , where |a+bi|= 1. I am supposed to generalize and...