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HP 32SII User Manual

Page 321

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Solving

C–7

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

†

Cancels Equation mode.

Now, solve to find the root:

Keys: Display: Description:

0

H

X 5

_

Your initial guesses for the
root.

{

G

1%2/)

Selects Equation mode;
displays the equation.

{

œ

X

#

%/)

Finds a root with guesses 0
and 5.

{



)

Shows root, to 11 decimal
places.

9

{



)

The previous estimate is
slightly bigger.

9

.)

f(x) is relatively large.

Note the difference between the last two estimates, as well as the relatively
large value for f(x). The problem is that there is no value of x for which f(x)
equals zero. However, at x = 1.99999999999, there is a neighboring value
of x that yields ant opposite sign for f(x).

Example:

A Pole.

Find the root of the equation

0

1

6

2

=

x

x

As x approaches

6

, f(x) becomes a very large positive or negative

number.

Enter the equation as an expression.

Keys: Display: Description:

{

G

Selects Equation mode.