The expression ( 5 − 6 i ) + ( 3 + 2 i ) in the form of a + b i .

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter I, Problem 1E
To determine

To evaluate: The expression (5−6i)+(3+2i) in the form of a+bi.

Expert Solution

The value of the expression (56i)+(3+2i) is 84i.

Explanation of Solution

The sum of two complex numbers defined as, (a+bi)+(c+di)=(a+c)+i(b+d).

Thus, the expression (56i)+(3+2i) simplified as follows.

(56i)+(3+2i)=(5+3)+i(6+2)=84i

Therefore, the value of the expression (56i)+(3+2i) is 84i.

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