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If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.
If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.
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Practice Questions
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Q1
If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.
6 + 2i
6 + 4i
2 + 6i
8 + 2i
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z1 + z2 = (2 + 3i) + (4 - i) = 6 + 2i.
Questions & Step-by-step Solutions
1 item
Q
Q: If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.
Solution:
z1 + z2 = (2 + 3i) + (4 - i) = 6 + 2i.
Steps: 5
Show Steps
Step 1: Identify the two complex numbers. Here, z1 = 2 + 3i and z2 = 4 - i.
Step 2: Write down the expression for addition: z1 + z2 = (2 + 3i) + (4 - i).
Step 3: Combine the real parts: 2 (from z1) + 4 (from z2) = 6.
Step 4: Combine the imaginary parts: 3i (from z1) + (-i) (from z2) = 3i - 1i = 2i.
Step 5: Write the final result by combining the real and imaginary parts: 6 + 2i.
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