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SMO 2006 Senior Round 1 Question 4

SMO · SMO 2006 Senior Round 1

Question 4

Let $x$ be a number such that $x+\dfrac1x=4$. Find $x^3+\dfrac1{x^3}$.
  1. $48$
  2. $50$
  3. $52$
  4. $54$
  5. None of the above