Solving #12: Salt Content in Tank B

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Shackleford
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This is probably the longest problem I've ever had. #12. Check my work, please. I'm a bit leery of the solution to the salt content, y(t), for Tank B simply because it seems quite complicated. The first part wasn't too bad, though.

http://i111.photobucket.com/albums/n149/camarolt4z28/2512a.jpg

http://i111.photobucket.com/albums/n149/camarolt4z28/2512.jpg
 
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You would probably get more help if it were easier to see what you did. I had to open one Web page to see the problem, and then another to see your work, which is a little hard to read.
 
The scan is pretty big. You can easily zoom into see my work or at least my x(t) and y(t) answers in the middle and bottom.
 
Ttt...
 
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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