Calculating the nth Roots of a Complex Number

Description

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, ... .

Program Resources

Labels

Name	Description
A	Calculate the principal root z 0
0

Storage Registers

Name	Description
2	Real part of z0
3	Imaginary part of z0
4
I

Flags

Number	Description
8	Complex mode

Program

Line	Display	Key Sequence	Line	Display	Key Sequence
000			019	42.21. 0	f LBL 0
001	42.21.11	f LBL A	020	45 4	RCL 4
002	34	x↔y	021	45.20.25	RCL × I
003	15	1/x	022	42 30	f Re↔Im
004	43 36	g LSTx	023	43 35	g CLx
005	33	R⬇	024	1	1
006	43. 4. 8	g SF 8	025	43 7	g DEG
007	14	yˣ	026	42 1	f → R
008	44 2	STO 2	027	45 2	RCL 2
009	42 30	f Re↔Im	028	45 3	RCL 3
010	44 3	STO 3	029	42 25	f I
011	3	3	030	20	×
012	6	6	031	45 25	RCL I
013	0	0	032	34	x↔y
014	43 33	g R⬆	033	1	1
015	10	÷	034	44.40.25	STO + I
016	44 4	STO 4	035	33	R⬇
017	0	0	036	31	R/S
018	44 25	STO I	037	22 0	GTO 0