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SMO 2026 Junior Round 1 Question 3

SMO · SMO 2026 Junior Round 1

Question 3

If $x$ and $y$ are nonzero real numbers such that $|x|-y=4$ and $|x|y-x^3=0$, find the value of $x-y$.
  1. 4
  2. $\sqrt{17}$
  3. $\frac{1-\sqrt{17}}2$
  4. $5+\sqrt{17}$
  5. $5-\sqrt{17}$