AngouriMath
SolveALinearOverTheRootOfAQuarticWithItsSymbolsScaledOut(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
A linear over the square root of a quartic whose symbols are a scale of the variable,
(alpha x + beta)/sqrt(P(x)) with P(s t) = C M(t) , M monic with rational
coefficients andC a positive square: under x = s t it is a constant times
(t + nu)/sqrt(M(t)) for a rational nu , which the logarithmic ansatz answers
where it is elementary. Rubi's 1.3.2
x/sqrt(-44375 b^4 + 576000 b^3 c x + 576000 b^2 c^2 x^2 + 5308416 c^4 x^4) , which is
ln(p + q sqrt(P))/(18432 c^2) for p of degree eight.
coefficients and
where it is elementary. Rubi's 1.3.2
Remarks
The ansatz reads rational coefficients, and the scaling of the variable takes one symbol
and reads what is left by simplifying, which does not takeC out from under the
root, so the row was declined withb = c = 1 answered. Here s is the
symbols of the ratio of two adjacent coefficients, each coefficient ofM is
checked to be a number, andsqrt(C) is written as the monomial it is, its powers
multiples of four. The question int has no symbols, so it is not scaled again.
https://github.com/asc-community/AngouriMath/issues/233
and reads what is left by simplifying, which does not take
root, so the row was declined with
symbols of the ratio of two adjacent coefficients, each coefficient of
checked to be a number, and
multiples of four. The question in
https://github.com/asc-community/AngouriMath/issues/233
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