HP HP-32S - Understanding and Controlling SOLVE

Keys:
HI SOLVE//| {FN} R
3F>qrsTolx
20
•l SOLVE// | {SOLVE}
X
1 fSTOlX
2
Display:
-3.0000
-2_
X=-2.4433
1.0000
2_
Hi SOLVE// I {SOLVE} X=1.3416
X
6(jTO]X
7
6.0000
7.
SOLVE// | {SOLVE} X=6.1017
Description:
Selects program LBL R.
First initial guesses.
Specifies the unknown;
returns the first root.
Second initial guesses.
The second root.
Third initial guesses.
The third root.
If you did not enter any initial guesses, you could get only one of these
roots. Which one depends on whateverhappenedto be in the variable
X and in the X-register, since the calculatoruses these values for initial
guesses whether you intend it to or not.
Understanding and Controlling SOLVE
SOLVE uses an iterative (repetitive) procedure to solve for the un
known variable. The procedure starts by substituting two initial
guesses for the unknown into the function defined in the program.
Based on the result with those two guesses, SOLVE generates another,
better guess. Through successive iterations, SOLVE finds a value that
makes the function equal to zero.
Some equations aremore difficult to solve than others. In some cases,
you need to enter initial guesses yourselfin orderto find the solution.
(See 'Choosing Initial Guesses for SOLVE,* below.) If SOLVE cannot
find a real solution, the calculator displays NO ROOT FND.
See appendix C for more information about how SOLVE works.
118 7: Solving ffor an Unknown Variable in an Equation