Manual Reference Pages - quadratic (1)

NAME

quadratic(1f) - [MATH] Calculate and print the roots of a quadratic formula even if they are complex (LICENSE:PD)

Synopsis
Description
Options
Example
Author
License

SYNOPSIS

quadratic A B C [ --verbose]|[ --help| --version]

DESCRIPTION

Given the equation
      A*x**2 + B*x + C = 0
Use the quadratic formula to determine the root values of the equation.

OPTIONS

A,B,C coefficients

--verbose
echo input values

--help display help text and exit

--version
display version information and exit

EXAMPLE

This program uses NAMELIST to crack the command line arguments, and complex numbers.

Sample usage:

   quadratic A=1.0  B=5.0  C=2.0
    for 1*x**2 + 5*x + 2 = 0
    the roots (ie. "x intercepts") are real so the parabola crosses the x-axis at two points:
    z1 =-0.438447237
    z2 =-4.561553
    discriminant =17

   quadratic A=1.0  B=2.0  C=5.0 # There are no real roots (Discriminant = -16)!
    for 1*x**2 + 2*x + 5 = 0
    the roots(ie. "x intercepts")  are complex:
    z1 = ( -1.00000000    ,  2.00000000    )
    z2 = ( -1.00000000    , -2.00000000    )
    discriminant =-16

   quadratic A=9 B=12 C=4
    for 9*x**2 + 12*x + 4 = 0
    the roots (ie. "x intercepts") are repeated (real and equal) so the parabola just touches the x-axis at:
    z1 = z2 =-0.666666687
    discriminant =0

AUTHOR

John S. Urban

LICENSE

Public Domain

quadratic (1)

March 11, 2021

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