HP -32S Owner's Manual page 270

The SOLVE operation returns a math error if an estimate produces an
operation that is not allowed—for example, division by zero, a square
root of a negative number, or a logarithm of zero. Keep in mind that
SOLVE can generate estimates over a wide range. You can sometimes
avoid math errors by using good guesses. If a math error occurs, press
IRCL Iunknown variable (or Hi viewIvariable) to see the value that pro
duced the error.
Example: A Relative Minimum. Calculate the root of this parabolic
equation:
x2 - 6x + 13
It has a minimum at x = 3.
Enter the function as the program:
G01 LBL G
G02 RCL X
G03 x*
G64 6
G65 RCLx X
G06 -
G07 13
G08 +
G09 RTN
Keys:
ill SOLVE/J [ {FN}G
ofsfolx 10
HI SOLVE/J|
{S0LVE}X
|4l II SHOW |
FrTI 111 SHOW
LED
Display:
NO ROOT FND
3.00000010001
3.00000468443
4.0000
0.
Description:
Search fails with
guesses 0 and 10.
Displays the final esti
mate of x.
Previous estimate was
not the same.
Final value for /fa) is
relatively large.
268 C: More About Solving an Equation