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SMO 2024 Senior Round 1 Question 4

SMO · SMO 2024 Senior Round 1

Question 4

Suppose $x^{1/3}+12=y^{1/3}$ for some real numbers $x$ and $y$. Find the minimum possible value of $y-x$.
  1. 432
  2. 532
  3. 632
  4. 732
  5. None of the above