Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

What is the additive inverse of the complex number [tex]-12 + 4i[/tex]?

A. [tex]-12 - 4i[/tex]
B. [tex]-12 + 4i[/tex]
C. [tex]12 - 4i[/tex]
D. [tex]12 + 4i[/tex]

Sagot :

GinnyAnswer
To find the additive inverse of a complex number, you need to find a number that, when added to the original complex number, results in zero. For a complex number [tex]\( a + bi \)[/tex], its additive inverse is [tex]\( -a - bi \)[/tex].

Given the complex number [tex]\(-12 + 4i\)[/tex], let's determine its additive inverse step by step:

1. Identify the real and imaginary parts:
- The real part is [tex]\(-12\)[/tex].
- The imaginary part is [tex]\(4i\)[/tex].

2. Determine the additive inverse of each part:
- The additive inverse of the real part [tex]\(-12\)[/tex] is [tex]\( 12 \)[/tex].
- The additive inverse of the imaginary part [tex]\(4i\)[/tex] is [tex]\(-4i \)[/tex].

3. Combine these to form the additive inverse of the complex number:
- The additive inverse of [tex]\(-12 + 4i\)[/tex] is [tex]\(12 - 4i \)[/tex].

Therefore, the additive inverse of the complex number [tex]\(-12 + 4i\)[/tex] is [tex]\(12 - 4i\)[/tex].

So, the correct answer is:
[tex]\[ 12 - 4i \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.