AngouriMath
Roots(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
The roots of the polynomial polynomial in w , each
once, where the solver writes all of them;null otherwise.
once, where the solver writes all of them;
Remarks
Only roots that read as simply as the sum does are written out: rational ones, the
roots of a quadratic, and the roots of a binomial. The roots of an irreducible cubic or
quartic in radicals are no simpler than the sum over them, and for a real polynomial
with three real roots Cardano's formula writes them with complex radicals, so that sum
is kept as it is; its value is still found numerically. The solver is not asked for
anything past that, which also spares a search every time a simplification meets the
sum.
roots of a quadratic, and the roots of a binomial. The roots of an irreducible cubic or
quartic in radicals are no simpler than the sum over them, and for a real polynomial
with three real roots Cardano's formula writes them with complex radicals, so that sum
is kept as it is; its value is still found numerically. The solver is not asked for
anything past that, which also spares a search every time a simplification meets the
sum.
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