3.1 The Complex Numbers
Perform computations involving complex numbers.
Some functions have zeros that are not real numbers. In order to find the zeros of such functions, we must consider the complex-number system.
The Complex-Number System
We know that the square root of a negative number is not a real number. For example, is not a real number because there is no real number x such that . This means that certain equations, like or , do not have real-number solutions, and certain functions, like , do not have real-number zeros. Consider the graph of .
We see that the graph does not cross ...
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