Math Problem Statement

(2+3i)+(9-2i)

Solution

The given expression is (2+3i)+(92i)(2 + 3i) + (9 - 2i).

To simplify this, combine the real and imaginary parts separately:

  • Real part: 2+9=112 + 9 = 11
  • Imaginary part: 3i2i=1i3i - 2i = 1i or just ii

Thus, the result is: 11+i11 + i

Would you like more details or have any questions?

Here are some related questions:

  1. How do you multiply two complex numbers?
  2. What is the conjugate of a complex number?
  3. How do you find the magnitude of a complex number?
  4. Can you graph complex numbers on a plane?
  5. How are complex numbers used in electrical engineering?

Tip: When adding complex numbers, always combine the real and imaginary parts separately!

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

(a+bi) + (c+di) = (a+c) + (b+d)i

Theorems

Basic Arithmetic of Complex Numbers

Suitable Grade Level

Grades 9-12