Complex Numbers Moduli Problem

SamitC
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Homework Statement


I am not able to understand an example from Brown-Churchill book. I have provided the screenshot in the attached picture. Request help.

Homework Equations


No

The Attempt at a Solution


No
 

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Let me guess: the triangle thing has something like ## |\vec a+\vec b|\le |\vec a|+|\vec b| ## ?
And how does that tranlate to complexe numbers ?
 
Well, you got away betting on two horses there ... :smile:
 
BvU said:
Well, you got away betting on two horses there ... :smile:
Yep...it was very urgent :)
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

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