Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
4th Edition
ISBN: 9781337687805
Author: James Stewart
Publisher: Cengage Learning
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Question
Chapter I, Problem 5E
To determine

To evaluate: The expression 12+7i¯ in the form of a+bi.

Expert Solution & Answer
Check Mark

Answer to Problem 5E

The value of the expression 12+7i¯ is 127i.

Explanation of Solution

Use the property of conjugates z+w¯=z¯+w¯ and zw¯=z¯w¯ to simplify the expression as follows.

12+7i¯=12¯+7i¯=12¯+7¯(i¯)=12+7(i)[i¯=i]=127i

Therefore, the value of the expression 12+7i¯ is 127i.

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