HP 33S Owner's Manual

More about Solving
D–5
File name 33s-E-Manual-1008-Publication(1st).doc Page : 386
Printed Date : 2003/10/8 Size : 13.7 x 21.2 cm
Now, solve the equation to find its positive and negative roots:
Keys: Display: Description:
0
e
X 10

_ Your initial guesses for the
positive root.
º d

Selects Equation mode; displays
the equation.
Û
X



Calculates the positive root
using guesses 0 an 10.
<

Final two estimates are they
same.
< º Î

f(x) = 0.
0
e
X 10
z

_

Your initial guesses for the
negative root.
º d

Redisplays the equation.
Û
X



Calculates negative root using
guesses 0 and –10.
< < º Î

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.
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HP 33S Specifications

General

Type	Scientific
Form factor	Pocket
Product color	Silver
Digits	10 digits
Display number of lines	2 lines
Keyboard type	Alphanumeric
Menus and prompts	Yes

Weight and Dimensions

Dimensions (WxDxH)	157 x 16 x 81 mm