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