Re: Find the value of x & y

*To*: mathgroup at smc.vnet.net*Subject*: [mg127829] Re: Find the value of x & y*From*: Ray Koopman <koopman at sfu.ca>*Date*: Sat, 25 Aug 2012 04:25:21 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <k17g5t$dqp$1@smc.vnet.net>

On Aug 24, 2:06 am, mainakj... at gmail.com wrote: > Find the value of x & y. We have only one equation: 16x.x+y + 16x+y.y = 1(16 to the power x.x + y + 16 to the power x+y.y = 1. > > I have found that X =-1/2 & y = -1/2 satisfying this equation. But I got it through trial method. It will be helpful, if anyone can solve this. NMinimize[Abs@Log[16^(x*x+y)+16^(x+y*y)],{x,y}] {4.44089*^-16, {x -> -0.5, y -> -0.5}}