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Adding Complex Numbers: (1-2i) + (-4+2i)
This article will guide you through the process of adding two complex numbers: (1 - 2i) and (-4 + 2i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where:
- a and b are real numbers
- 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.
Step 1: Group the real and imaginary terms together: (1 - 2i) + (-4 + 2i) = (1 + (-4)) + (-2 + 2)i
Step 2: Simplify the expression: = -3 + 0i
Step 3: Since 0i = 0, the final result is -3.
Conclusion
Therefore, the sum of the complex numbers (1 - 2i) and (-4 + 2i) is -3. This process demonstrates how straightforward it is to add complex numbers. Remember to separate the real and imaginary parts and then combine them accordingly.