       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)
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• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-newout@smc.vnet.net
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• 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}}

```

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