Roots of a real or complex number – Sharp EL-9900 User Manual
Page 138
5
Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1.
Program the calculator to find all the roots of a real or complex number by
solving the equation z
n
= a + bi using DeMoivre’s theorem.
2.
Create a new program with the name ROOTS. Enter the following program
and remember to press ENTER at the end of each line. If you make a mis
take, use the calculator's editing features to correct the error.
3.
Enter the following program:
Input N
PRGM A 3 ALPHA N ENTER
Input A
PRGM A 3 ALPHA A ENTER
Input B
PRGM A 3 ALPHA B ENTER
xy->r(A,B)
⇒R MATH D 3 ALPHA A , ALPHA B
)
STO ALPHA R ENTER
xy->
θ(A,B)⇒θ MATH D 4 ALPHA A , ALPHA B
)
STO ALPHA
θ
ENTER
0
⇒K
0
STO ALPHA
K ENTER
Label A
PRGM B 0 1 ALPHA
A ENTER
Print r
θ->x
PRGM
A 1 MATH D 5
(R^(1
÷N),(θ+
ALPHA R a
b
( 1
÷
ALPHA N )
2
πK)÷N)
, ( ALPHA
θ
+ 2 2ndF
π
ALPHA
K )
÷
ALPHA N ) ENTER
Print r
θ->y
PRGM A 1 MATH D 6
(R^(1
÷N),
ALPHA R a
b
( 1
÷
ALPHA N )
(
θ+2πK)÷N)
, ( ALPHA
θ
+
2 2ndF
π
ALPHA
K )
÷
ALPHA N ) ENTER
Print “
PRGM A 1 PRGM A 2 ENTER
Wait
PRGM A 4 ENTER
K+1
⇒K
ALPHA K + 1 STO
ALPHA
K ENTER
If K PRGM B 0 3 ALPHA K MATH F Goto A 5 ALPHA N PRGM B 0 2 ALPHA A ENTER End PRGM A 6 ENTER Press 2ndF QUIT to exit the editor. ROOTS OF
A REAL OR COMPLEX NUMBER