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RealCubicRoots

RealCubicRoots is an external procedure that returns either one or three real value(s) of z that  the cubic equation: z^3+a_2*z^2+a_1*z+a_0=0.

If there is only 1 real root, it will appear in z_1, with z_2 and z_3=0.  The imaginary roots are not determined.}

Example:

{Solve for roots of z^3-4*z^2-3*z+6=0}

$Arrays off

a_2=-4

a_1=-3

a_0=6

Call realcubicroots(a_2,a_1,a_0: z[1..3])

{Solution:

z[1]=4.372 

z[2]=-1.372 

z[3]=1 

}