HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 69

Simple operations with complex numbers, The CMPLX menus, CMPLX menu through the MTH menu

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Simple operations with complex numbers Complex numbers can be combined using the four fundamental operations (+-*/). The results follow the rules of algebra with the caveat that i2= -1. Operations with complex numbers are similar to those with real numbers. For example, with the calculator in ALG mode and the CAS set to Complex, try the following operations: (3+5i) + (6-3i) = (9,2); (5-2i) - (3+4i) = (2,-6) (3-i)·(2-4i) = (2,-14); (5-2i)/(3+4i) = (0.28,-1.04) 1/(3+4i) = (0.12, -0.16) ; -(5-3i) = -5 + 3i The CMPLX menus There are two CMPLX (CoMPLeX numbers) menus available in the calculator. One is available through the MTH menu (introduced in Chapter 3) and one directly into the keyboard (,ß). The two CMPLX menus are presented next. CMPLX menu through the MTH menu Assuming that system flag 117 is set to CHOOSE boxes (see Chapter 2), the CMPLX sub-menu within the MTH menu is accessed by using: „´9@@OK@@ . The functions available are the following: Page 4-4

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Page 4-4
Simple operations with complex numbers
Complex numbers can be combined using the four fundamental operations
(
+-*/
).
The results follow the rules of algebra with the caveat
that
i2= -1
.
Operations with complex numbers are similar to those with
real numbers.
For example, with the calculator in ALG mode and the CAS
set to
Complex
, try the following operations:
(3+5i) + (6-3i) = (9,2);
(5-2i) - (3+4i)
= (2,-6)
(3-i)·(2-4i) = (2,-14);
(5-2i)/(3+4i) = (0.28,-1.04)
1/(3+4i) = (0.12, -0.16) ;
-(5-3i) = -5 + 3i
The CMPLX menus
There are two CMPLX (CoMPLeX numbers) menus available in the
calculator.
One is available through the MTH menu (introduced in
Chapter 3) and one directly into the keyboard (
‚ß
).
The two CMPLX
menus are presented next.
CMPLX menu through the MTH menu
Assuming that system flag 117 is set to
CHOOSE boxes
(see Chapter 2),
the CMPLX sub-menu within the MTH menu is accessed by using:
„´9
@@OK@@
.
The functions available are the following: