Parametric - Eliminating the parameter

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Homework Statement


http://mathbin.net/equations/8457_0.png

My result does not seem like a "valid" equation. Is there any other approach I can take or anything that I can do to make it look prettier?

Thanks.
 
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I don't see any problem with what you wrote down. What are you trying to do?
 
I am wondering if there is any simpler form than that?
 

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...
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