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Question
What is the smallest positive integer n, for which (1 + i)2n = (1 – i)2n?
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Solution
n = 2, Because (1 + i)2n = (1 – i)2n ⇒ `((1 + i)/(1 - i))^(2n)` = 1
⇒ (i)2n = 1 Which is possible if n = 2 ......(∴ i4 = 1)
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