BUILT-IN MATHEMATICA SYMBOL

# Roots

Roots[lhs==rhs, var]
yields a disjunction of equations which represent the roots of a polynomial equation.

## Details and OptionsDetails and Options

• Roots uses Factor and Decompose in trying to find roots.
• You can find numerical values of the roots by applying N.
• Roots can take the following options:
•  Cubics True whether to generate explicit solutions for cubics EquatedTo Null expression to which the variable solved for should be equated Modulus 0 integer modulus Multiplicity 1 multiplicity in final list of solutions Quartics True whether to generate explicit solutions for quartics Using True subsidiary equations to be solved
• Roots is generated when Solve and related functions cannot produce explicit solutions. Options are often given in such cases.
• Roots gives several identical equations when roots with multiplicity greater than one occur.

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

Find roots of univariate polynomial equations:

 Out[1]=
 Out[2]=