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Cubics

Cubics
is an option for functions that involve solving algebraic equations, that specifies whether explicit forms for solutions to cubic equations should be given.

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With Cubics->True, roots of cubics are given explicitly in terms of radicals. With Cubics->False, roots of cubics that do not have very simple forms are given implicitly in terms of Root objects.

Cubics->True may lead to fairly large outputs.

Basic Examples (1)

By default, Reduce does not use general formulas for solving cubics in radicals:

With Cubics->True, Reduce solves all cubics in terms of radicals:

Solving this simple cubic in radicals does not require the general formulas:

Quartics ToRadicals Reduce Resolve Eigenvalues

Polynomial Equations

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