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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: How to solve this equation?
Replies: 6   Last Post: Apr 18, 2012 4:56 PM

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Michael

Posts: 1
Registered: 4/18/12
How to solve this equation?
Posted: Apr 18, 2012 1:09 PM
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I have sum(w_i, i from 1 to n)=1 given,

and also I am given a set of numbers e_i, i from 1 to n.

Now I need to find a number u, such that

sum(w_i/(u - e_i)^2, i from 1 to n) ...

My questions are: are there systematic way of finding all possible
solutions u?

And is the number of solution related to n?

I am thinking of maybe for n=2, the number of solutions u is 1?

And for general n, the number of solutions u is n-1?

Thanks a lot!

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