This is the first reply email from Fujio KIDA in Japan to CAS on the
attached luigi's email.
I tried and could find three distinct solutions by adding "dummy variable
a=1" as follows;
solve([
0=35*x^3+(35*sqrt(3)-9)*x^2-(9*sqrt(3)+2)*x-2*sqrt(3) ,
a=1
],[ a,x]);
As Mr luigi said, Maxima sometime does not give the answers as we hope.
(I have benefited quite a lot from using Maxima, and much better than
"Mathematica" for my purposes.)
Also, Maxima gave three solutions in complex formula as expected for the
third order polynomials.
Fujio KIDA
???: luigi_marino2 at alice.it
??: maxima at math.utexas.edu
??: 2011/08/12 16:51
??: [Maxima] solve in Maxima
Maxima cannot exactly solve this polynomial
with not-rational coefficients:
35x^3+(35*sqrt(3)-9)x^2-(9*sqrt(3)+2)x-2*sqrt(3)
the real solutions are:
-sqrt(3) , -1/7 , 2/5
the only method is:
divide(
35x^3+(35*sqrt(3)-9)x^2-(9*sqrt(3)+2)x-2*sqrt(3),x-2/5)
and then
solve(%,x)
Best regards
Luigi Marino_______________________________________________
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