-%2B-(3i-2).jpeg "(3+4i) + (3i-2)")
Adding Complex Numbers: (3+4i) + (3i-2)
This article explains how to add two complex numbers, specifically (3+4i) + (3i-2).
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.
- Real part: The real part of a complex number is the coefficient of the term without 'i'. In our case, the real parts of (3+4i) and (3i-2) are 3 and -2, respectively.
- Imaginary part: The imaginary part of a complex number is the coefficient of the term with 'i'. Here, the imaginary parts of (3+4i) and (3i-2) are 4 and 3, respectively.
Adding Complex Numbers
To add complex numbers, we simply add their corresponding real and imaginary parts.
- Real parts: 3 + (-2) = 1
- Imaginary parts: 4 + 3 = 7
Therefore, (3+4i) + (3i-2) = 1 + 7i.
Conclusion
Adding complex numbers involves combining their real and imaginary parts separately. This process is straightforward, and the result is another complex number in the form a + bi.