Round-Off Error - HP 33s User Manual

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Checksum and length: B956 75
You can subsequently delete line J0003 to save memory.
Solve for X using initial guesses of 10
Keys:
(In RPN mode)
} z e
8 X
z } z
1 8
º s
J
Û
X
Round–Off Error
The limited (12–digit) precision of the calculator can cause errors due to rounding
off, which adversely affect the iterative solutions of SOLVE and integration. For
example,
has no roots because f(x) is always greater than zero. However, given initial
guesses of 1 and 2, SOLVE returns the answer 1.0000 due to round–off error.
Round–off error can also cause SOLVE to fail to find a root. The equation
has a root at 7
calculator can never make the function equal to zero. Furthermore, the function
never changes sign SOLVE returns the message    . However, the final
estimate of x (press
the root when the routine quits.
–8
Display:

 _ 


 



[( x 1) 10
2
x
. However, no 12–digit number exactly equals
~
to see it) is the best possible 12–digit approximation of
–8
and –10 .
Description:
Enters guesses.
Selects program "J" as the
function.
Solves for X ; displays the result.
15 2 30
] - 10 0
7 - 0
More about Solving
7 , so the
D–13