(-11+3i)+(9+2i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (-11 + 3i) + (9 + 2i)

This article will guide you through the process of adding the complex numbers (-11 + 3i) and (9 + 2i).

Understanding Complex Numbers

A complex number is a number that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.

Adding Complex Numbers

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

Let's break down the addition of (-11 + 3i) and (9 + 2i):

1. Identify the real and imaginary parts of each complex number:

   • (-11 + 3i): Real part = -11, Imaginary part = 3
   • (9 + 2i): Real part = 9, Imaginary part = 2

2. Add the real parts: -11 + 9 = -2

3. Add the imaginary parts: 3 + 2 = 5

4. Combine the results to form the sum: -2 + 5i

Therefore, the sum of (-11 + 3i) and (9 + 2i) is -2 + 5i.