Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.