Texas Instruments TI-89 Titanium User Manual page 230

• Transforms irrational numbers to standard forms as much as possible without
approximating them. For example,
to .
3 ln(10)
• Converts floating-point numbers to rational numbers. For example, 0.25 transforms
to 1/4.
The functions
solve
symbolic algorithms. These functions do not compute approximate solutions in the
EXACT setting.
• Some equations, such as
represented in terms of the functions and operators on the handheld.
• With this kind of equation, EXACT will not compute approximate solutions. For
Lx
example,
2 = x
the EXACT setting.
Advantages
Results are exact.
Symbolic Manipulation
, , ,
cSolve zeros cZeros
Lx
, have solutions that cannot all be finitely
2 = x
has an approximate solution
Disadvantages
As you use more complicated rational
numbers and irrational constants, calculations
can:
• Use more memory, which may exhaust the
memory before a solution is completed.
• Take more computing time.
• Produce bulky results that are harder to
comprehend than a floating-point number.
transforms to
12 2 3
, , ‰, , and
factor fMin
≈
x 0.641186
and transforms
ln(1000)
use only exact
fMax
, but it is not displayed in
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