HP 48gII hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf - Page 800
Complex vs. Real CAS mode, CAS option is
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It is recommended that you select EXACT mode as default CAS mode, and change to APPROX mode if requested by the calculator in the performance of an operation. For additional information on real and integer numbers, as well as other calculator's objects, refer to Chapter 2. Complex vs. Real CAS mode A complex number is a number of the form a+bi, where i, defined by i2 = −1 is the unit imaginary number (electrical engineers prefer to use the symbol j), and a and b are real numbers. For example, the number 2 + 3i is a complex number. Additional information on operations with complex numbers are presented in Chapter 4 of this guide. When the _Complex CAS option is selected, if an operation results in a complex number, then the result will be shown in the form a+bi or in the form of an ordered pair (a,b). On the other hand, if the _Complex CAS option is unset (i.e., the Real CAS option is active), and an operation results in a complex number, you will be asked to switch to Complex mode. If you decline, the calculator will report an error. Please notice that, in COMPLEX mode the CAS is able to perform a wider range of operations than in REAL mode, but it will also be considerably slower. Thus, it is recommended that you use the REAL mode as default mode and switch to COMPLEX if requested by the calculator in the performance of an operation. The following example shows the calculation of the quantity 52 − 82 using the Algebraic operating mode, first with the Real CAS option selected. In this case, you are asked if you want to change the mode to Complex: Page C-6
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