Question: Close form equation solving

Dear All,


I have an equation to solve. 

1= sum_{i=1}^n 1/(x+a_i) where a_i is given. I want to solve this equation for unknown x. I know there is a value between 0 and 1. Although I can find the solution by numerical method, I am interested in close form to solve this equation.

Help please.


Best Regards,


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