(11-7i)+(2-5i)

2 min read Jun 16, 2024
(11-7i)+(2-5i)

Adding Complex Numbers: (11-7i) + (2-5i)

This article will guide you through adding the complex numbers (11 - 7i) and (2 - 5i).

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

Adding complex numbers is straightforward. You simply add the real parts and the imaginary parts separately.

Step 1: Identify the Real and Imaginary Parts

  • In (11 - 7i), the real part is 11 and the imaginary part is -7.
  • In (2 - 5i), the real part is 2 and the imaginary part is -5.

Step 2: Add the Real Parts

11 + 2 = 13

Step 3: Add the Imaginary Parts

-7 + (-5) = -12

Step 4: Combine the Results

The sum of the complex numbers is the real part plus the imaginary part: (11 - 7i) + (2 - 5i) = 13 - 12i

Conclusion

Therefore, the sum of (11 - 7i) and (2 - 5i) is 13 - 12i.

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