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HP 32SII User Manual

Page 112

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7–2 Solving

Equations

File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm

for a value for every other variable in the equation.

3. For each prompt, enter the desired value;

If the displayed clue is the one you want, press

f

.

If you want a different clue, type or calculate the value and press

f

.

(For details, see "Responding to Equation Prompts" in chapter 6.)

You can half a running calculation b pressing

†

or

f

.

When the root is found, it's stored in the unknown variable, and the variable
value is VIEWed in the display. In addition, the X–register contains the root,
the Y–register contains the previous estimate, and the Z–register contains the
value of the equation at the root (which should be zero).

For some complicated mathematical conditions, a definitive solution cannot
he found—and the calculator displays

!

"

. See "Verifying the

Result" later in this chapter, and "Interpreting results" and "When SOLVE
Cannot Find Root" in appendix C.

For certain equations it helps t provide one or two initial guesses for the
unknown variable before solving the equation. This can speed up the
calculation, direct the answer toward realistic solution, and find more than
one solution, if appropriate. See "Choosing Initial Guesses" later in this
chapter.

Example:

Solving the Equation of Linear Motion.

The equation of motion for a free–falling object is:

d = v

0

t +

1

/

2

g t

2

where d is the distance, v

0

is the initial velocity, t is the time, and g is the

acceleration due to gravity.

Type in the equation:

Keys: Display:

Description:

z

b

{

} {

&

}

Clears memory.

{

G

!

!

Selects Equation mode.