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If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?
If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?
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Practice Questions
1 question
Q1
If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?
6 - 2i
6 + 2i
2 - 2i
2 + 2i
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z1 + z2 = (2 + 3i) + (4 - 5i) = 6 - 2i.
Questions & Step-by-step Solutions
1 item
Q
Q: If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?
Solution:
z1 + z2 = (2 + 3i) + (4 - 5i) = 6 - 2i.
Steps: 6
Show Steps
Step 1: Identify the two complex numbers. Here, z1 = 2 + 3i and z2 = 4 - 5i.
Step 2: Write down the expression for addition: z1 + z2 = (2 + 3i) + (4 - 5i).
Step 3: Combine the real parts: 2 (from z1) + 4 (from z2) = 6.
Step 4: Combine the imaginary parts: 3i (from z1) + (-5i) (from z2) = 3i - 5i = -2i.
Step 5: Put the combined real and imaginary parts together: 6 - 2i.
Step 6: Write the final answer: z1 + z2 = 6 - 2i.
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