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.

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

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

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

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

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Introduced in 1988
(1.0)