AngouriMath
SolveACubicWithARepeatedRootOverItsRoots(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A quotient with a cubic in x below the bar whose coefficients are
symbolic and whose discriminant vanishes identically, with the cubic written over its
roots:a x^3 + b x^2 + c x + d is a (x - r)^2 (x - s) with the double root
r = (9ad - bc)/(2(b^2 - 3ac)) and the simple one
s = (4abc - 9a^2 d - b^3)/(a(b^2 - 3ac)) , or a (x + b/(3a))^3 where
b^2 - 3ac vanishes too.
symbolic and whose discriminant vanishes identically, with the cubic written over its
roots:
Remarks
Rubi's 1.3.1 1/(9x^3 - 9bx + 2 sqrt(3) b^(3/2)) was left unevaluated, and the same
written9 (x - sqrt(b/3))^2 (x + 2 sqrt(b/3)) is answered in 60 ms. The factored
form is checked against the cubic before it is handed on.
https://github.com/asc-community/AngouriMath/issues/718
written
form is checked against the cubic before it is handed on.
https://github.com/asc-community/AngouriMath/issues/718
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