Question

Add or subtract as indicated. $$ (4+5 i)+(7-2 i) $$

   Add or subtract as indicated.
$$
(4+5 i)+(7-2 i)
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 9, Problem 10

Instant Answer

Solved by Expert Julie Silva

07/02/2020

Step 1

The real parts are 4 and 7, and the imaginary parts are 5i and -2i. So, we have: $$ (4+7) + (5i - 2i) $$ Show more…

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Add or subtract as indicated. $$ (4+5 i)+(7-2 i) $$

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Key Concepts

Complex Numbers

Complex numbers are numbers that have both a real part and an imaginary part, typically expressed in the form a + bi, where 'a' represents the real component and 'bi' represents the imaginary component. They are used in various fields of mathematics and engineering to solve equations that have no real solutions.

Addition of Complex Numbers

Adding complex numbers involves combining the real components with each other and the imaginary components with each other. This means that when adding two complex numbers, you independently sum the real parts and the imaginary parts, resulting in a new complex number that represents the combined value.

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