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1966 AMC 12 Question 10

AMC12 · 1966 AMC 12

Question 10

If the sum of two numbers is $1$ and their product is $1,$ then the sum of their cubes is, where $i=\sqrt{-1}:$
  1. $2$
  2. $-2-\dfrac{3\sqrt3i}{4}$
  3. $0$
  4. $-\dfrac{3\sqrt3i}{4}$
  5. $-2$