Finding a length of a cable, in static equilibrium

shemer77
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Homework Statement


Find H as a function of L and X

Homework Equations


http://imageshack.us/photo/my-images/28/project1questoin.png/
http://imageshack.us/photo/my-images/28/project1questoin.png/

The Attempt at a Solution


my answer came out to a ridiculous solution and I am not really sure if it is right

H=sqrt((L*sqrt(4x^2+40x-L^2-200) + 20 *(x-5))/(2)).
 
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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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