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Performing Arithmetic with Complex Numbers

Performing Arithmetic with Complex Numbers 1.8 - Solution

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We will calculate the difference between and Then, we will compare the obtained expression with
Simplify
We want our obtained expression to be equivalent to For two complex numbers to be equal, both their and their must be equal. In Equation (I) we see that the difference between and must be Similarly, from Equation (II) we can conclude that the difference between and must be With this information, we can assign the given numbers, and to and Now that we have the values, we can write the statement.