I want to find the common positive solutions of two polynomials f_a(x,y),
g_a(x,y) where a runs from 0 to 1 with an interval 0.01.
It seems there is a problem in Sage. I tried in Mathamatica but could not
succeed as follows:
For[a=0,a<1,a=a+0.01,Solve[{x^2+a*x+y==0, 2*x*a+y^2+a==0},{x,y}]]
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