Interpreting
Results
The
SOLVE
operation will produce a solution under either of these
conditions:
• If it finds an estimate for which /fa) equals zero (see figure a,
below).
• If it finds an estimate where /fa)is
not
equal to zero, but the calcu
lated root is a 12-digit number adjacent to the place where the
function's graph crossesthe x-axis(see figure b, below). This occurs
when the two final estimates are neighbors (that is, they differ by 1
in the 12th digit), and the function's value is positive for one esti
mate and negative for the
other.*
In
most
cases,
/fa)
will be
relatively close to zero.
fCxJ
ffxJ
Cases
Where
a
Root
Is
Found
Toobtain additional information about the result, press
IR*
Ito see the
previous estimate of the root
(x),
which was left in the
Y-register.
PressFrT|again to see the value of
/fa),
which was left in the
Z-regis
ter. If
/fa)
equals zero or is relatively small, it is very likely that a
solution has been found. However, if /fa) is relatively large, you must
use
caution in interpreting
the
results.
•Or they are
(0,
lO"499)
or
(0,
-lO"499).
C:
More
About
Solving
an
Equation
261
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