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What is the additive inverse of the complex number -8 + 3i?

Question

What is the additive inverse of the complex number -8 + 3i?

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Solution

Step 1: Define the Problem

Identify the additive inverse of the complex number 8+3i-8 + 3i.

Step 2: Break Down the Problem

The additive inverse of a complex number a+bia + bi is a number that, when added to a+bia + bi, results in zero.

Step 3: Apply Relevant Concepts

For a complex number a+bia + bi, the additive inverse is abi-a - bi.

Step 4: Analysis, Verify and Summarize

Given the complex number 8+3i-8 + 3i, its additive inverse is: (8)3i=83i -(-8) - 3i = 8 - 3i

Final Answer

The additive inverse of the complex number 8+3i-8 + 3i is 83i8 - 3i.

This problem has been solved

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