NRoots

NRoots[lhs==rhs,var]

yields a disjunction of equations which represent numerical approximations to the roots of a polynomial equation.

Details and Options

NRoots gives several identical equations when roots with multiplicity greater than one occur.
NRoots has the following options:

MaxIterations	Automatic	maximum number of iterations to use
Method	Automatic	method to use
PrecisionGoal	Automatic	the precision sought
StepMonitor	None	expression to evaluate at each step

Possible settings for the Method option include: "Aberth", "CompanionMatrix", and "JenkinsTraub".

Numerically find the roots of a polynomial:

Change the result to rules:

Test the roots:

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