HP -15C Advanced Functions Handbook page 86

84 SectionS: Calculating in Complex Mode
Keystrokes Display
ITIfABSl 058- 4 3 1 6 Calculates \(f + 8/(z + 9)|.
fgirRTNl 059- 43 32
Labels used: A, B, and C.
Registers used: RQ and R
t
.
Now run the program. For each root, press QF] until the displayed
real part doesn't change. (You might also check that the imaginary
part doesn't change.)
Keystrokes
|T1|USER|
00
GDGID(hold)
Display
1.6279
-0.1487
-0.1497
-0.1497
2.8319
1.0000
-0.1497
Run mode.
Activates User mode.
Displays
Re(A(0)) = Re(2
0
).
Re(2
2
).
Re(2).
-10 Calculates residual.
Restores 2 to X-register.
By repeating the same process for n = 1 through 5, you will obtain
the results listed below. (Only one of each pair of complex roots is
listed.)
n
0
1
2
3
4
5
A(n)
1. 6279 + *' 1.5708
0.0184 + 17.8540
-0.5694 + i1 4.1 372
-0.9371 +»20.4204
-1.2054 + i'26.7035
-1 .4167 + J32.9867
Root z
k
-0.1497 + i 2.83 19
-0.4198 + i'8.6361
-0. 7430 + z' 14.6504
-1.0236 + »20.7868
-1. 2553 + f 26.9830
-1.4486 + 133.2103
Residual
1 X10'
10
6X10"
1 0
2 X 1 0"
9
5X10"
1 0
9X10~
1 0
2 X 1 0"
9