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Re: Equations system with zero
*To*: mathgroup at smc.vnet.net
*Subject*: [mg91384] Re: Equations system with zero
*From*: Bill Rowe <readnews at sbcglobal.net>
*Date*: Tue, 19 Aug 2008 07:15:45 -0400 (EDT)
On 8/18/08 at 3:36 AM, mibelair at hotmail.com (Miguel) wrote:
>Let the following equations system for x, y Reals
>Solve[{y/(9y)==0/(5x),x^2+3y^2},{x,y}] {}
>
>Mathematica 6.0.1 yields no solution. But the solutions exist. They
>are four solutions
>x=0, y=+-Sqrt[1/3] y=0, x=+-1
None of these solve the problem as written. For any x, y not
equal to zero, the left hand side of the first equation
evaluates to a non-zero value and the right hand side evaluates
to 0. And if either x or y equal zero, as written one side or
the other evaluates to 0/0 which is undefined.
And if you fix this problem, Solve still will have a problem
since the second expression isn't an equation.
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