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

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Posts: 327
Registered: 10/6/05
Re: How to solve this equation?
Posted: Apr 18, 2012 2:00 PM
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On Apr 18, 12:37 pm, James Waldby <n...@valid.invalid> wrote:
> On Wed, 18 Apr 2012 10:09:02 -0700, Michael wrote:
> > 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?

> You didn't state any condition on u (except perhaps implying it's not
> equal to any e_i).  State an equation before asking for solutions.  Also
> clarify if w_i are given (besides e_i) and if u is the only unknown.

> > 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?
> --
> jiw

yes,u is unconstrained... the only unknown...

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