Comment #8 on issue 3548 by [email protected]: Implement algorithm for
solving quintics
http://code.google.com/p/sympy/issues/detail?id=3548
@asmeurer, it seems sympy is already capable of producing exact solutions
to quintics:
eq = x**5 + 3*x**4 - 4*x**3 - 4*x**2 + 6*x - 2
s = solve(eq, x)
s
[1, -1 + sqrt(2*2**(1/3) + 2*2**(2/3) + 4)/2 - sqrt(-2*2**(2/3) -
8/sqrt(2*2**(1/3) + 2*2**(2/3) + 4) - 2*2**(1/3) + 8)/2, -1 +
sqrt(2*2**(1/3) + 2*2**(2/3) + 4)/2 + sqrt(-2*2**(2/3) - 8/sqrt(2*2**(1/3)
+ 2*2**(2/3) + 4) - 2*2**(1/3) + 8)/2, -sqrt(2*2**(1/3) + 2*2**(2/3) + 4)/2
- 1 + sqrt(-2*2**(2/3) - 2*2**(1/3) + 8/sqrt(2*2**(1/3) + 2*2**(2/3) + 4) +
8)/2, -sqrt(2*2**(1/3) + 2*2**(2/3) + 4)/2 - sqrt(-2*2**(2/3) - 2*2**(1/3)
+ 8/sqrt(2*2**(1/3) + 2*2**(2/3) + 4) + 8)/2 - 1]
len(s)
5
Therefore, it seems that there is no need for a separate implementation of
DS Dummit's paper. Comments?
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