HP 32SII User Manual
Page 324
C–10 More
about
Solving
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
Example:
A Relative Minimum.
Calculate the root of this parabolic equation:
x
2
– 6x + 13 = 0.
It has a minimum at x = 3.
Enter the equation as an expression:
Keys: Display: Description:
{
G
Selects Equation mode.
K
X
0
2
6
y
K
X
13
%:. º%-
Enters the equation.
{
Checksum and length.
/
)
Cancels Equation mode.
Now, solve to find the root:
Keys: Display: Description:
0
H
X 10
_
Your initial guesses for the root.
{
G
%:. º%-
Selects Equation mode; displays
the equation.
{
X
!
Search fails with guesses 0 and
10
@
{
)
Displays the final estimate of x.
9
{
)
Previous estimate was not the
same.
9
)
Final value for f(x) is relatively
large.
Example:
An Asymptote.
Find the root of the equation