Re: exponential diophantine equations

*To*: mathgroup at smc.vnet.net*Subject*: [mg62932] Re: exponential diophantine equations*From*: mike_in_england2000 at yahoo.co.uk*Date*: Thu, 8 Dec 2005 06:25:36 -0500 (EST)*Organization*: http://groups.google.com*References*: <dn8qs9$hj7$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

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!) > Hi Andrea Have you typed out the equation incorrectly? For the equation you have given x=31,k=6 gives 14 not 0 Mike