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More about Solving D–5
|
/
/
Checksum and length.
Cancels Equation mode.
Now, solve the equation to find its positive and negative roots:
Keys: Display: Description:
0
I
X 10

_ Your initial guesses for the
positive root.
|H
%:-%.
Selects Equation mode; displays
the equation.
X
#
%/
)
Calculates the positive root
using guesses 0 and 10.
)
Final two estimates are the
same.
|
)
f(x)
= 0.
0
I
X 10
^
.
_
Your initial guesses for the
negative root.
|H
%:-%.
Redisplays the equation.
X
#
%/
.)
Calculates negative root using
guesses 0 and –10.
|
)
f(x)
= 0.
Certain cases require special consideration:

If the function's graph has a discontinuity that crosses the x–axis, then the
SOLVE operation returns a value adjacent to the discontinuity (see figure a,
below). In this case,
f(x) may be relatively large.

Values of f(x) may be approaching infinity at the location where the graph
changes sign (see figure b, below). This situation is called a pole. Since the
SOLVE operation determines that there is a sign change between two
neighboring values of
x, it returns the possible root. However, the value for f(x)
will be relatively large. If the pole occurs at a value of x that is exactly
represented with 12 digits, then that value would cause the calculation to halt
with an error message.