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How do I solve this equation in Mathematica? Using the NSolve command doesn't work!

0.59*Sqrt[x]*Sin[0.2*Sqrt[x]] + 1.7*(Cos[0.3*Sqrt[x]] - 
    Coth[0.1*Sqrt[x]]*Sin[0.8*Sqrt[x]]) = 0

Regards,

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33% accept rate and still you didn't un-accepted this question without accepting any other ?!! –  Quixotic Nov 20 '11 at 1:51
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2 Answers

use ==, the test operator for equality, not =, the assignment operator

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doesn't work, this is not the problem, please –  George Oct 23 '11 at 18:00
    
You need to be more descriptive in your question. What error message does Mathematica give? Do you know there are actually solutions? From your use of = instead of ==, I'm guessing you aren't a Mathematica veteran. The problem is probably that you misused the function, and didn't provide the correct arguments, so Mathematica just spit out whatever you typed in unevaluated. Is that the problem? –  JeremyKun Oct 23 '11 at 18:11
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May you could use few calls to FindRoot,like this one:

FindRoot[0.59 Sqrt[x] Sin[0.2 Sqrt[x]] + 1.7 (Cos[0.3 Sqrt[x]] - Coth[0.1 Sqrt[x]] Sin[0.8 Sqrt[x]]) ==  0, {x, 2}]

Does this suffices your purpose?

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Of course, it is imperative that you come up with a good seed for FindRoot[]. :) –  J. M. Oct 23 '11 at 21:24
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