Math Problem Statement

what is (-5+13i)+(7-13i)

Solution

To solve the complex number addition (5+13i)+(713i)(-5 + 13i) + (7 - 13i), combine the real and imaginary parts separately:

Step 1: Add the real parts

5+7=2-5 + 7 = 2

Step 2: Add the imaginary parts

13i13i=013i - 13i = 0

Final Answer:

2+0i=22 + 0i = 2

The result of the addition is 2.

Would you like further clarification or details?


  1. What is the general formula for adding complex numbers?
  2. How do you subtract complex numbers?
  3. Can complex numbers be represented graphically?
  4. What happens when two purely imaginary numbers are added?
  5. How do real numbers relate to complex numbers?

Tip: Always align real and imaginary parts during addition or subtraction of complex numbers.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

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

Theorems

Basic Properties of Complex Numbers

Suitable Grade Level

Grades 9-10