Math Problem Statement
(13 + 5i) + (-9 + 3i). Simplify the answer and express it in the form a + bi.
Solution
The question visible in the image asks to "Add and simplify" the following expression:
It also specifies to express the result in the form , where and are real numbers.
Let's break this down:
- Add the real parts: .
- Add the imaginary parts: .
Thus, the simplified expression is:
Would you like more details, or do you have any other questions?
Here are five related questions to deepen your understanding:
- How do you subtract complex numbers?
- What is the geometric interpretation of adding two complex numbers?
- How do you multiply two complex numbers?
- What is the conjugate of a complex number, and how is it used?
- How do you divide two complex numbers?
Tip: Always remember to treat real and imaginary parts separately when performing arithmetic on complex numbers.
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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
-
Suitable Grade Level
Grades 11-12