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

2 min read Jun 16, 2024
(2+3i)+(-4+i)

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

This article will demonstrate the addition of two complex numbers, (2 + 3i) and (-4 + i).

Understanding Complex Numbers

Complex numbers are numbers that consist of a real part and an imaginary part. The imaginary part is denoted by the symbol 'i', where i² = -1.

Adding Complex Numbers

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

Example: (2 + 3i) + (-4 + i)

  1. Identify the real and imaginary parts:

    • Real part of (2 + 3i) is 2.
    • Imaginary part of (2 + 3i) is 3.
    • Real part of (-4 + i) is -4.
    • Imaginary part of (-4 + i) is 1.

  2. Add the real parts:

    • 2 + (-4) = -2

  3. Add the imaginary parts:

    • 3 + 1 = 4

  4. Combine the results:

    • The sum of the real parts is -2.
    • The sum of the imaginary parts is 4.

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

Conclusion

Adding complex numbers is straightforward. We simply combine the real and imaginary parts separately to obtain the final complex number.

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