(4+2i)+(-3-5i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (4 + 2i) + (-3 - 5i)

This article will guide you through adding the complex numbers (4 + 2i) and (-3 - 5i).

Understanding Complex Numbers

Complex numbers are numbers 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 (4 + 2i) and (-3 - 5i):

1. Identify the real and imaginary parts:

   • In (4 + 2i), the real part is 4 and the imaginary part is 2i.
   • In (-3 - 5i), the real part is -3 and the imaginary part is -5i.

2. Add the real parts:

   • 4 + (-3) = 1

3. Add the imaginary parts:

   • 2i + (-5i) = -3i

4. Combine the results:

   • The sum of the real parts is 1.
   • The sum of the imaginary parts is -3i.
   • Therefore, (4 + 2i) + (-3 - 5i) = 1 - 3i.

Conclusion

Adding complex numbers is straightforward. By adding the real and imaginary parts separately, we can easily find the sum of two complex numbers. In this case, the sum of (4 + 2i) and (-3 - 5i) is 1 - 3i.