HP -32S Owner's Manual page 265

Example: An Equation With IWo Roots. Find the two roots of the
parabolic equation:
x2 + x - 6 = 0.
Enter the function as the program:
D01 LBL D
D02 RCL X
D03 *2
D04 RCL+ X
D05 6
D06 -
D07 RTN
Keys:
D
'E}
Display:
X=2.0000
Description:
HII SOLVE//| {FN J
0| STO IX 10
HI SOLVE/J | {SOU
X
Calculates the positive
root using guesses 0
and 10.
nri
2.0000
0.00000000000
Final two estimates are
the same.
IFUI Ml SHOW |
fix) = 0.
OlSTOlX 10I+/-I
IHI SOLVE/J |
{S0LVE}X
X = -3.0000
0.00000000000
Calculates the negative
root using guesses 0
and -10.
IR* IIR* I Ml SHOW |
/fa) = o.
Certain cases require special consideration:
• If the function's graph has a discontinuity that crosses the x-axis,
then the SOLVE operation returns a value adjacent to the disconti
nuity (see figure a, next page). In this case, /fa) may be relatively
large.
C: More About Solving an Equation 263