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HP -32S Owner's Manual Page 199

Rpn scientific calculator.
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IR/SI
X=-3.3333E-7
Calculates the second
Q36
GTO
Q
root.
IM PRGM I
Switches to program
Q12
x<0?
entry.
•IGT0M-IQ12
Moves program pointer
to line Q12.
S3
Qll
CF
0
Deletes line Q12.
•I TESTS | {*?0>
Adds the conditional
{>0}
Q12
x>0?
test x>01.
m
-3.3333E-7
Cancels program entry.
IXEQIQ
R71.0000
Starts program.
I R/S11R/SI
Skips data entry since
values are already
stored.
| R/S |
X=0.0000
Calculates first root us
ing previous inputs.
| R/S |
DIVIDE
BY 0
Attempts to compute
second root.
As you can see, the results of a simple change in the order of calcula
tion can be quite significant.
If yousubstitute the first values calculated backinto the equation, you
will find that the left-hand side of the equation is zero for the root of
smaller absolute value (as it theoretically should be) and 1 for the root
of larger absolute value. Does this mean that the result of
—3,000,000.0000 is incorrect? The answer to this question is a quali
fied no. If you increment or decrement this value by one count in the
least significant digit and substitute the result back into the original
equation, then the left-hand side will be 31 or —29. Thus,
—3,000,000.0000, while not being exactly correct, is the best possible
12-digit result that could be generated.
12: Mathematics Programs
197

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