What is the sum of the complex numbers z1 = 2 + 2i and z2 = 3 - 4i?
Practice Questions
1 question
Q1
What is the sum of the complex numbers z1 = 2 + 2i and z2 = 3 - 4i?
5 - 2i
5 + 2i
1 - 2i
1 + 2i
To find the sum, we add the real parts and the imaginary parts: (2 + 3) + (2 - 4)i = 5 - 2i.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the sum of the complex numbers z1 = 2 + 2i and z2 = 3 - 4i?
Solution: To find the sum, we add the real parts and the imaginary parts: (2 + 3) + (2 - 4)i = 5 - 2i.
Steps: 5
Step 1: Identify the complex numbers. We have z1 = 2 + 2i and z2 = 3 - 4i.
Step 2: Separate the real parts and the imaginary parts. For z1, the real part is 2 and the imaginary part is 2i. For z2, the real part is 3 and the imaginary part is -4i.
Step 3: Add the real parts together. 2 (from z1) + 3 (from z2) = 5.
Step 4: Add the imaginary parts together. 2i (from z1) + (-4i) (from z2) = 2i - 4i = -2i.
Step 5: Combine the results from Step 3 and Step 4. The sum is 5 - 2i.
