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sorting list of roots af a transcendental function

• To: mathgroup at smc.vnet.net
• Subject: [mg65260] sorting list of roots af a transcendental function
• From: Dule <dule23 at gmx.de>
• Date: Wed, 22 Mar 2006 06:13:52 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Dear group,

for calculating a model i need values for x which are given by the 
transcendental function Cot[x] == x/a - a/(4*x). a is a parameter 0<a<200.
i obtained the roots with Table and FindRoot:
Table[FindRoot[Cot[x] == x/a - a/(4*x), {x, i}], {i, 1, 50}]]

I have two questions:
1. Is there a better way to do this?
2. How can i construct a list, where the values for x, which appear 
multiple are dropped?

Thanks!

• Follow-Ups:
  • Re: sorting list of roots af a transcendental function
    • From: "Carl K. Woll" <carlw@wolfram.com>
  • Re: sorting list of roots af a transcendental function
    • From: Pratik Desai <pdesai1@umbc.edu>