I have two functions of the form, p(x) = \sum_{i=1}^{n} \frac{1}{x-a_i}  
and q(x) = \sum_{i=1}^{n} \frac{1}{x-b_i} 

Given two such functions I fix a = max{a_i,b_i}

I want to ask if the equation p(x) - q(x) has a root or not above x = a 

- Can something in Sage help? 


 

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