HP -32S Owner's Manual page 196

Memory Required: 127.5 bytes: 79.5 for program, 48 for variables.
Remarks: Expanding this program to handle cubic equations would
be quite easy. Since a cubic equation always has at least one real root,
the SOLVE function could be used to find the root. Then synthetic
division could reduce the cubic equation to a quadratic equation
which would be solved by this program.
Program Instructions:
1. Key in the program routines; press [c] when done.
2. Press IXEQI Q to start the quadratic equation routine.
3. Key in A and press IR/SI.
4. Key in B and press IR/s I.
5. Key in C and press IR/SI.
6. See the first value of X, if the roots are real, or see the real part,
R, if the roots are imaginary.
7. Press IR/s Ito see the second value of X, or to see the imaginary
part, J, if the roots are imaginary.
8. For a new case, press IR/S I and go back to step 3.
Variables Used:
A Coefficient of x2.
B Coefficient of x.
C Constant.
X The first or second real value of x.
R The real portion of the complex root.
I The positive, imaginary part of the complex root.
Example 1. Find the roots of 3x2 + 5x — 3 = 0.
194 12: Mathematics Programs