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Roots

Roots[lhsrhs, var]
yields a disjunction of equations which represent the roots of a polynomial equation.
  • You can find numerical values of the roots by applying N.
  • Roots can take the following options:
CubicsTruewhether to generate explicit solutions for cubics
EquatedToNullexpression to which the variable solved for should be equated
Modulus0integer modulus
Multiplicity1multiplicity in final list of solutions
QuarticsTruewhether to generate explicit solutions for quartics
UsingTruesubsidiary 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.
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