Express Parameter as x & y: Eliminate 2t

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Homework Statement



Eliminate the parameter and express in x and y

x= 2-3cos2t y= 5+7sin2t


Homework Equations





The Attempt at a Solution



I tried changing them in terms of cos^2t and sin^2t. I change the first equation into ((x-5)/6) = cos^2t. But I can't figure out how to change the second one in terms of sin^2t.
 
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Use ##\cos^2(2t)+\sin^2(2t)=1##.
 
Ahh thanks didn't know you could do that
 
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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