HP -32S Owner's Manual page 268

Enter the function as the program:
F01 LBL F
F02 RCL X
F03 *2
F04 6
F05 -
F06 RCL X
F07
xOy
F08 *
F09 1
F18 -
Fll RTN
Note that you can shorten the program by deleting lines F06-F07 and
adding a second RCL X instruction after line F02.
Keys:
Display:
SOLVE/J
{FN}F
2.3 fSTOl X 2.7
IHl SOLVE/J |
{SOLVE}X X=2.4495
IR±JLR±.
81,649,658,092.0
Description:
Calculates the root using
guesses that bracket y/$.
/fa) is relatively large.
There is a pole between the final estimates. The initial guesses yielded
opposite signs for /fa), and the interval between successive estimates
was narrowed until two neighbors were found. Unfortunately, these
neighbors made fix) approach a pole instead of the x-axis. The func
tion does have roots at —2 and 3, which can be found by entering
better guesses.
266 C: More About Solving an Equation