Parametric - Eliminating the perameter

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In both exercise, eliminate the parameter.

Problem 1 :
http://mathbin.net/equations/8157_0.png
When I graph this, it is a circle. THAT does not appear like a circular equation.Problem 2 :
http://mathbin.net/equations/8159_0.png
I am afraid of the absolute value signs. How do I deal with this situation?

If you cannot see them, go here : http://mathbin.net/8157 and http://mathbin.net/8159
 
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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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