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Re: solved in a non algebraic way?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42193] Re: solved in a non algebraic way?
  • From: Bill Rowe <listuser at earthlink.net>
  • Date: Sun, 22 Jun 2003 04:05:31 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 6/21/03 at 8:57 PM, nchin at students.uiuc.edu (Nick Chin) wrote:

> ive been trying to solve an equation of the form
>
> tan(kx) + m tan(x) = 0 , solving for x

> but mathematica says " The equations appear to involve the variables to
> be solved for in an essentially non-algebraic way. "
 
> So is there another way to use mathematica to solve, or is it powerless
> for this problem?

Yes and no. It depends on what you want. If you want a general solution with k and m specified as variables, then I don't know how to do it. But if you give k and m specific values, Mathematica gives you a warning about using inverse functions and provides a solution.

Both

Solve[Tan[2 x] + 3 Tan[x] == 0, x]

and

NSolve[Tan[2 x] + 3 Tan[x] == 0, x]

work with the warning noted above.

But if k and m are arbitrary reals you will most likely need to use FindRoot to locate a specific root


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