Math Problem Statement

(3+4i)+(9-3i)

Solution

The expression you provided is the sum of two complex numbers: (3+4i)+(93i)(3 + 4i) + (9 - 3i).

To add these complex numbers, combine the real parts and the imaginary parts separately:

(3+9)+(4i3i)=12+1i(3 + 9) + (4i - 3i) = 12 + 1i

So, the result is:

12+i12 + i

Would you like more details or have any questions?

Here are some related questions for further exploration:

  1. What is the result of subtracting (93i)(9 - 3i) from (3+4i)(3 + 4i)?
  2. How do you multiply two complex numbers like (3+4i)(93i)(3 + 4i)(9 - 3i)?
  3. What is the magnitude of the complex number 12+i12 + i?
  4. How can you graph the complex number 12+i12 + i on the complex plane?
  5. How do you find the conjugate of a complex number?

Tip: When adding or subtracting complex numbers, always handle real and imaginary parts separately.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

Addition of complex numbers: (a + bi) + (c + di) = (a + c) + (b + d)i

Theorems

Basic properties of complex numbers: real and imaginary parts are handled separately.

Suitable Grade Level

Grades 10-12