HP 32SII User Manual

Page 319

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Solving

C–5

File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm

Keys: Display: Description:

{

G



Selects Equation mode.

K

X

0

2

™

K

X

„

6

š



%:-%. 

Enters the equation.

{



/  

) 

Checksum and length.

†



Cancels Equation mode.

Now, solve the equation to find its positive and negative roots:

Keys: Display: Description:

0

H

X 10



_

Your initial guesses for the
positive root.

{

G

%:-%. 

Selects Equation mode;
displays the equation.

{

œ

X

#

%/) 

Calculates the positive root
using guesses 0 an 10.

9

) 

Final two estimates are they
same.

9

{



) 

f(x) = 0.

0

H

X 10

_

.

_



Your initial guesses for the
negative root.

{

G

%:-%. 

Redisplays the equation.

{

œ

X

#

%/.) 

Calculates negative root
using guesses 0 and –10.

9

9

{



) 

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

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