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Question: Solve gives the wrong answer

Question:Solve gives the wrong answer

lesshaste 28 Maple
solve
September 13 2013
2

In maple 17, 

 

solve({b-a*sqrt(1+a^2+b^2)=a^2*(a*b-sqrt(1+a^2+b^2)), a-b*sqrt(1+a^2+b^2)=b^2*(a*b-sqrt(1+a^2+b^2))});

 

outputs

a=a , b = -a/(1+a)

 

If you set a =1  and b = -1/2 you will see this is not a correct solution.

 

 
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