Thank you for explanation Francois

Note however that the additional option can change Maxima's behavior

sage: s=solve(3*x^3-9*x
+10==0,x,solution_dict=True,to_poly_solve='force')
sage: [n(t[x]) for  t in s]
[1.06780542232902 - 0.648556288895405*I, #
-2.13561076604555,   # POOR PRECISION
 1.06780538302277 + 0.648556231003039*I] #

It seems that the precision can be improved setting  the default
ratepsilon in Maxima  smaller

It seems also that the default Sage behavior should be improved

Andrzej Chrzeszczyk

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