HP -32S Owner's Manual page 267

Enter the function as the program:
E01 LBL E
E82 RCL X
E93 IP
EQ4 1.5
E85 -
R06 RTN
Keys:
Bl SOLVE/J | {FN}E
orsfoix 5
Bl SOLVE/JI
{SOLVE}X
SHOW
R*
SHOW
Display:
X = 2.0000
1.99999999999
2.00000000000
-0.5000
Description:
Finds a root with
guesses 0 and 5.
Shows root to 11 deci
mal places.
The previous estimate
is slightly bigger.
/fa) is relatively large.
Note the difference between the last two estimates, as well as the rel
atively large value for /fa). The problem is that there is no value of x
for which /fa) equals zero. However, at x = 1.99999999999, there is a
neighboring value of x that yields an opposite sign for /fa).
Example: A Pole. Find the root of the equation
-r*- 1 = 0.
As x approaches \f6, ffa) becomes a very large positive or negative
number.
C: More About Solving an Equation 265