When solve cannot find root – HP 32SII User Manual
Page 322
C–8 More
about
Solving
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
K
X
p
{
\
K
X
0
2
6
{
]
1
%ª1%:. 22.
Enters the equation.
{
/
)
Checksum and length.
Cancels Equation mode.
Now, solve to find the root.
Keys: Display:
Description:
2.3
H
X 2.7
)
_
Your initial guesses for the root.
{
G
%ª1%:. 22.
Selects Equation mode; displays
the equation.
{
X
#
%/)
Calculates the root using guesses
that bracket
6
.
9
9
8 8 8 )
f(x) is relatively large.
There is a pole between the final estimates. The initial guesses yielded
opposite signs for f(x), and the interval between successive estimates was
narrowed until two neighbors were found. Unfortunately, these neighbors
made f(x) approach a pole instead of the x–axis. The function does have roots
at –2 and 3, which can be found by entering better guesses.
When SOLVE Cannot Find Root
Sometimes SOLVE fails to find a root. The following conditions cause the
message
!
:
The search terminates near a local minimum or maximum (see figure a,
below). If the ending value of f(x) (stored in the Z–register) is relatively
close to zero, it is possible that a root has been found; the number stored
in the unknown variable might be a 12–digit number very close to a
theoretical root.