Question

Add or subtract as indicated. $$(5+2 i)+(7+10 i)$$

Name: Problem 10, Chapter 6: Intermediate Algebra
Uploaded: 2022-03-02T15:41:34-08:00
Duration: 1 min 1 s
Channel: Teresa Fuston
Description: Add or subtract as indicated. (5+2 i)+(7+10 i)

   Add or subtract as indicated.
$$(5+2 i)+(7+10 i)$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 6, Problem 10

Instant Answer

Solved by Expert Teresa Fuston

03/02/2022

Step 1

In the first complex number, 5 is the real part and 2i is the imaginary part. In the second complex number, 7 is the real part and 10i is the imaginary part. Show more…

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Add or subtract as indicated. $$(5+2 i)+(7+10 i)$$

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Key Concepts

Complex Numbers

Complex numbers are numbers that have both a real part and an imaginary part, typically written in the form a + bi. They extend the real number system and allow for solutions to equations that do not have real solutions, making them particularly useful in various fields of mathematics and engineering.

Addition of Complex Numbers

When adding complex numbers, you combine the real parts together and the imaginary parts together. This procedure is based on the fundamental property that the imaginary unit i behaves like a constant across addition, allowing the components to be added separately.

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