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Question: Is it possible to use notzero in PolynomialSystem to eliminate only the trivial solution?

Question:Is it possible to use notzero in PolynomialSystem to eliminate only the trivial solution?

emendes 455 Maple 2020
solvetools duplicate-question
November 09 2020
1

Hello

I am not familiar with the use of notsero in SolveTools:-PolynomialSystem. Is there any special syntax to use it?  In the following example, the trivial solution {x=0,y=0} is to be eliminated.  

SolveTools:-PolynomialSystem({x*(x^2 - 2), y*(y^2 - 2)}, {x, y},explicit=true)

If I issue the command

SolveTools:-PolynomialSystem({x*(x^2 - 2), y*(y^2 - 2)}, {x, y},{x,y},explicit=true)

all roots with either x=0 or y=0 are eliminated.  

Can netzero be used to eliminate only the trivial solution?  

 

Many thanks

 

 
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