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Quartics

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

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

Quartics->True may lead to fairly large outputs.

Basic Examples (1)

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

With Quartics->True, Reduce solves all quartics in terms of radicals:

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

Cubics ToRadicals Reduce Resolve Eigenvalues

Polynomial Equations

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