Program for finding roots and selecting one

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Is this a PRIME specific question? otherwise, HP calculator programs for the solution of cubic equations go back to at least the HP-65 with program #7 in MATH PAC 1.

Kahan has two source locations on the topic:
a. To Solve a Real Cubic Equation
found at Cubic
b. To Solve A Real Cubic Equation
found at AD a206859

as well as Analytic Solution of Quartic & Cubic Polynomials by A J Helou, BCE, M.Sc., Ph.D.

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