HP -32S Owner's Manual page 264

Example: An Equation With One Root. Find the root of the
equation:
-2X3 + 4x2 - 6x + 8 = 0,
which, using Horner's method (chapter 5), simplifies to
x(x(-2x + 4) - 6) + 8 = 0.
Enter the function as the program:
R81 LBL R
R02 -2
AQ3 RCLx X
004 4
fl05 +
A06 RCLx X
fl07 6
R08 -
R09 RCLx X
R10 8
fill +
R12 RTN
Keys:
II SOLVE/J | {FN}A
OlsTolX 10
Hi SOLVE/J|
{S0LVE}X
Lm
fRTI
Display:
X=1.6586
1.6586
-1.0000E-11
262 C: More About Solving an Equation
Description:
Calculates x using
guesses 0 and 10.
Final two estimates are
the same to four deci
mal places.
/fa) is very small, so the
approximation is a
good root.