Math Problem Statement
Add (5 - 2i) + (3 + 3i) and write the result in standard form.
Solution
Let's break down the addition of the two complex numbers shown in the image:
To add these, we combine the real parts and the imaginary parts separately:
- Real part:
- Imaginary part:
So the result of the addition is:
This is already in standard form, which is , where is the real part and is the coefficient of the imaginary part .
Would you like any further details or clarifications?
Here are 5 related questions:
- How do you subtract two complex numbers?
- What happens when you multiply two complex numbers?
- How do you find the magnitude of a complex number?
- How is the complex conjugate of a number calculated?
- How would you divide two complex numbers?
Tip: Always remember that in complex numbers, real and imaginary parts are treated separately during basic operations like addition and subtraction.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Complex Numbers
Addition
Formulas
(a + bi) + (c + di) = (a + c) + (b + d)i
Theorems
Basic Operations on Complex Numbers
Suitable Grade Level
Grades 9-12