HP -22S Owner's Manual page 162

Note the relatively large value for
I(x).
There is no value of
x
for which
I(x)
equals
o.
However, at
x=
2.0000,
'SOLVE
I
finds two neighboring
values of x that yield opposite signs for f(x).
(x)
~
1
•
0
x
-2
4
•
0
-1
-2
0
•
(x)
=
IP(x) - 1.5
=
0
Example: A Pole. Find the root of the equation:
x _ I
=
0
r-6
SOLVE Equation: X+ (X"'2-6) -1 =0
As
x
approaches
V6,
f(x)
becomes a very large positive or negative
number:
Keys:
2.3
[]!Q]
X
2.7 . ,
SOLVE
I
• 1
LAST
I
Display:
X=2.4495
81,649,658,092.0
162 B: More About Solving Equations
Description:
Calculates the root
us~
guesses that bracket
y
6 .
I(x)
is relatively large .