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2002 AMC 12A Question 24

AMC12 · 2002 AMC 12A

Question 24

Find the number of ordered pairs of real numbers $(a, b)$ such that $(a + bi)^{2002} = a - bi.$
  1. $1001$
  2. $1002$
  3. $2001$
  4. $2002$
  5. $2004$