HP 32SII User Manual
Page 326
C–12 More
about
Solving
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
It's apparent from inspecting the equation that if x is a negative number, the
smallest that f(x) can be is 10. f(x) approaches 10 as x becomes a negative
number of large magnitude.
Example:
A Math Error.
Find the root of the equation:
0
5
.
0
0.3)]
(x
[x
=
−
+
÷
Enter the equation as an expression:
Keys: Display:
Description:
{
G
Selects Equation mode.
<
K
X
p
{
\
K
X
3
{
]
{
]
5
!1%ª1%- )
Enters the equation.
{
/
)
Checksum and length.
Cancels Equation mode.
First attempt to find a positive root:
Keys: Display:
Description:
0
H
X 10
_
Your positive guesses for the root.
{
G
!1%ª1%- )
Selects Equation mode; displays
the left end of the equation.
{
X
%/ )
Calculates the root using guesses 0
and 10.
Now attempt to find a negative root by entering guesses 0 and –10. Notice
that the function is undefined for values of x between 0 and –0.3 since those
values produce a positive denominator but a negative numerator, causing a
negative square root.