Perform the operation and answer in \( a + bi \) form (where \( i \) is the imaginary unit):
\[ \frac{2+i}{2-1} \]
Answer (2)
2 − i 2 + i = ( 2 − i ) ( 2 + i ) ( 2 + i ) 2 = 4 + 1 4 + 4 i − 1 = 5 3 + 4 i = 5 3 + 5 4 i
The result of the operation 2 − 1 2 + i simplifies to 2 + i . This is equivalent to 2 + 1 i in the standard form a + bi . Therefore, the final answer is 2 + i .
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