BUILT-IN WOLFRAM LANGUAGE SYMBOL
is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.
- 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.
By default Reduce does not use the 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: