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SMO 2025 Senior Round 1 Question 1

SMO · SMO 2025 Senior Round 1

Question 1

Suppose the roots of $x^2+Ax+B=0$ are $A+B$ and $B-A$, where $A\ne B$. Find the value of $A-B$.
  1. $-1$
  2. $-\frac13$
  3. $0$
  4. $\frac23$
  5. $1$