(-4+7i)+(-4-7i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (-4 + 7i) + (-4 - 7i)

This problem involves adding two complex numbers. Let's break down the process:

Understanding Complex Numbers

Complex numbers are numbers of the form a + bi, where:

• a is the real part
• b is the imaginary part
• i is the imaginary unit, defined as the square root of -1 (i² = -1)

Adding Complex Numbers

To add complex numbers, we simply add the real parts and the imaginary parts separately.

Applying the concept to our problem:

We have: (-4 + 7i) + (-4 - 7i)

1. Real Part: -4 + (-4) = -8
2. Imaginary Part: 7i + (-7i) = 0i = 0

Therefore, the sum of the complex numbers is: -8 + 0i or simply -8

Key Points:

• Adding complex numbers is like adding vectors. You add the corresponding components.
• The result of adding two complex numbers is always a complex number.
• In this case, the imaginary parts canceled out, leaving us with a real number as the final answer.