REALROOTS _ _ _ _ _ _ _ _ _ _ _ _ operator

The operator realroots finds that real roots of a polynomial to an accuracy that is sufficient to separate them and which is a minimum of 6 decimal places.

syntax:

realroots(<p>,<from>,<to>)

where <p> is a univariate polynomial. The optional parameters <from> and <to> classify an interval: if given, exactly the real roots in this interval will be returned. <from> and <to> can also take the values infinity or -infinity. If omitted all real roots will be returned. Result is a list of equations which represent the roots of the polynomial at the given accuracy.

examples:

realroots(x^5-2);

  {x=1.1487}


realroots(x^3-104*x^2+403*x-300,2,infinity);


  {x=3.0,x=100.0}


realroots(x^3-104*x^2+403*x-300,-infinity,2);


  {x=1}

The minimal accuracy of the result values is controlled by rootacc.