HP 15c - Manual (Page 67)

Section 3: Calculating in Complex Mode 67
Calculating the nth Roots of a Complex Number
This program calculates the nth roots of a complex number. The roots are z
k
for k = 0, 1, 2, ...
, n - 1. You can also use the program to calculate z
1/r
, where r isn't necessarily an integer. The
program operates the same way except that there may be infinitely many roots z
k
for k = 0,
±1, ±2, ... .
Keystrokes Display
|¥ Program mode.
´ CLEARM 000-
´bA 001-42,21,11
® 002- 34 Places n in X-register, z in Y-
register.
⁄ 003- 15 Calculates 1/n.
| K 004- 43 36 Retrieves n.
) 005- 33
|F8 006-43, 4, 8 Activates Complex mode.
Y 007- 14 Calculates z
1 / n
.
O2 008- 44 2 Stores real part of z
0
in R
2
.
´} 009- 42 30
O3 010- 44 3 Stores imaginary part of z
0
in
R
3
.
3 011- 3
6 012- 6
0 013- 0
|( 014- 43 33
÷ 015- 10 Calculates 360/n.
O4 016- 44 4 Stores 360/n in R
4
.
0 017- 0
OV 018- 44 25 Stores 0 in Index register.
´b0 019-42,21, 0
l4 020- 45 4 Recalls 360/n.
l*V 021-45,20,25 Calculates 360k/n using Index
register,
´} 022- 42 30
|` 023- 43 35
1 024- 1 Places 1 + i(k360/n) in the X-
register.
| D 025- 43 7 Sets Degrees mode.
´; 026- 42 1 Calculates e
ik360 / n
.
l2 027- 45 2 Recalls real part of z
0
.
l3 028- 45 3 Recalls imaginary part of z
0
.