Understanding Definite Integrals: The Meaning of f(x)|g(x) in Math

metalInferno
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this is not a homework ques, but a general question..

Homework Statement


if there are two functions ... f(x) and g(x) , then what does f(x)|g(x) mean. that's it.



Homework Equations





The Attempt at a Solution


 
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f(x)|g(x) means that f(x) divides g(x) evenly.
 
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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