Interpreting Results - HP -34C Owner's Handbook Manual

192 Finding the Roots of an Equation
Slide the PRGM-RUN switch to |J[[] ruvn and execute again.
Keystrokes Display
0 0.0000
1 1 } Initial estimates.
M 4.0681 The desired root.
4.0681 A previous estimate of the
root.
0.0000 Value of modified f(¢) at
root.
After 4.0681 seconds, the ridgetis at a height of 107 0.5 meters. This
solution, although different from the previous answer, is correct con-
sidering the uncertainty of the height equation. (And this solution is
found in just under half the time of the earlier solution.)
Interpreting Results
The numbers that places in the X-, Y-, and Z-registers help you
evaluate the results of the search for a root of your equation.* Even when
no root is found, the results are still significant.
When finds a root ofthe specified
equation, the root and function values
are placed in the X- and Z-registers. A
function value of zero is the expected
result. However, a nonzero function
value is also acceptable because it indi-
cates that the function's graph appar-
ently crosses the x-axis within an
infinitesimal distance from the calcu-
lated root. In most such cases, the
function value will be relatively close to zero.
* The number in the T-register is the same number that was left in the Y-register by the
final execution of your function subroutine. Generally, this number is not of interest.