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Cubics

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

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
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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.

Details

  • 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.

Examples

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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:

Scope  (2)

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

With Cubics->True, all cubics are solved in terms of radicals:

By default, ToRadicals converts all cubic Root objects to radicals:

With Cubics->False, ToRadicals does not use the general formulas for solving cubics:

Wolfram Research (1988), Cubics, Wolfram Language function, https://reference.wolfram.com/language/ref/Cubics.html.

Text

Wolfram Research (1988), Cubics, Wolfram Language function, https://reference.wolfram.com/language/ref/Cubics.html.

CMS

Wolfram Language. 1988. "Cubics." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Cubics.html.

APA

Wolfram Language. (1988). Cubics. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Cubics.html

BibTeX

@misc{reference.wolfram_2025_cubics, author="Wolfram Research", title="{Cubics}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/Cubics.html}", note=[Accessed: 14-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_cubics, organization={Wolfram Research}, title={Cubics}, year={1988}, url={https://reference.wolfram.com/language/ref/Cubics.html}, note=[Accessed: 14-August-2025]}