(-4+6i)+(-2-9i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (-4 + 6i) + (-2 - 9i)

This article will guide you through adding two complex numbers: (-4 + 6i) + (-2 - 9i).

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 (i.e., i² = -1).

Adding Complex Numbers

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

Solving the Problem

1. Identify the real and imaginary parts:

   • In (-4 + 6i), the real part is -4 and the imaginary part is 6.
   • In (-2 - 9i), the real part is -2 and the imaginary part is -9.

2. Add the real parts: -4 + (-2) = -6

3. Add the imaginary parts: 6 + (-9) = -3

4. Combine the results: The sum is -6 - 3i.

Conclusion

Therefore, (-4 + 6i) + (-2 - 9i) = -6 - 3i.