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MathGroup Archive 2005

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Re: exponential diophantine equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62949] Re: [mg62922] exponential diophantine equations
  • From: Andrea <andrea at radargift.com>
  • Date: Fri, 9 Dec 2005 05:10:31 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Andrzej,

Oh those signs!  I typed +7.  Mistake.  It should be -7.

Andrea

At 01:38 AM 12/8/2005, Andrzej Kozlowski wrote:

>On 8 Dec 2005, at 17:27, Andrea wrote:
>
>>
>>I'm trying to find out how to use Mathematica to find solutions to
>>exponential diophantine equations like the following:
>>
>>          (5x)^2 - 2^k * 3 * (5+k)^2 - 131 * k + 7 = 0.   I want to
>>obtain
>>solutions for x and k. (One solution is x = 31, k = 6, but I didn't
>>find
>>this using Mathematica!)
>
>Are you sure you have found a solution? I get:
>
>In[30]:=
>(5x)^2 - 2^k * 3 * (5+k)^2 - 131 * k + 7 /.{x->31,k->6}
>
>Out[30]=
>14
>
>
>One can certianly try some "educated searches" but before starting it
>woudl be better to be sure that this is really the equation you want
>to solve!
>
>Andrzej Kozlowski
>


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