Question

Add or subtract as indicated. $$(1+3 i)-(4+9 i)$$

Name: Problem 14, Chapter 6: Intermediate Algebra
Uploaded: 2022-03-02T15:47:13-08:00
Duration: 1 min 2 s
Channel: Teresa Fuston
Description: Add or subtract as indicated. (1+3 i)-(4+9 i)

   Add or subtract as indicated.
$$(1+3 i)-(4+9 i)$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 6, Problem 14

Instant Answer

Solved by Expert Teresa Fuston

03/02/2022

Step 1

Step 1: Distribute the subtraction across the complex number: $$(1+3i) - (4+9i) = 1 - 4 + 3i - 9i$$ Show more…

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Add or subtract as indicated. $$(1+3 i)-(4+9 i)$$

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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, where a is the real component and b is the coefficient of the imaginary unit i, satisfying i² = -1. They extend the real numbers and are used to solve equations that do not have real roots.

Addition and Subtraction of Complex Numbers

When adding or subtracting complex numbers, you combine the real parts together and the imaginary parts together separately. This component-wise operation maintains the structure of complex numbers, making it straightforward to execute and understand operations involving such numbers.

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