This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# 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.
• 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.
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:
By default Reduce does not use the general formulas for solving quartics in radicals:
 Out[1]=
With Quartics->True, Reduce solves all quartics in terms of radicals:
 Out[2]=
Solving this simple quartic in radicals does not require the general formulas:
 Out[3]=
 Scope   (2)
By default Eigenvalues does not use the general formulas for solving quartics in radicals:
With Quartics->True all quartics are solved in terms of radicals: