HP 32SII - 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 š


%:. 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.
{ œ 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