Using Solve - HP -32S Owner's Manual

Value of the function
Root
Using SOLVE
To solve ffor an unknown variable:
1. Enter a program that defines the function. (See 'Writing Pro
grams for SOLVE,* below.)
2. Select the program that defines the function to solve: press
Ml solve//I {FN} label.
3. Solve for the unknown variable: press
Hi solve// I {SOLVE} variable.
You can halt a running calculation by pressing [c] or IR/SI.
Initial Guesses. For certain functions it helps to provide one or two
initial guesses (in the variable and the X-register) for the unknown
variable before starting the calculation (step 3). This can speed up the
calculation, direct the answer toward a realistic solution, and find
more than one solution, if appropriate. See 'Choosing Initial Guesses
for SOLVE' on page 120.
Results. The X-register and the variable itself contain the final esti
mate of the root, the Y-register contains the previous estimate, and
the Z-register contains the value of the function at the lastestimate of
the root (which should be zero).
For some complicated mathematical conditions, a definitive solution
cannot be found. See 'Interpreting Results* and 'When SOLVE Can
not Find a Root* in appendix C.
7: Solving ffor an Unknown Variable in an Equation 111