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SMO 2012 Junior Round 1 Question 1

SMO · SMO 2012 Junior Round 1

Question 1

Let $\alpha,\beta$ be the roots of $x^2+2bx+b=1$. The smallest possible value of $(\alpha-\beta)^2$ is:
  1. 0
  2. 1
  3. 2
  4. 3
  5. 4