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1959 AMC 12 Question 44

AMC12 · 1959 AMC 12

Question 44

The roots of $x^2+bx+c=0$ are both real and greater than $1.$ Let $s=b+c+1.$ Then $s:$
  1. may be less than zero
  2. may be equal to zero
  3. must be greater than zero
  4. must be less than zero
  5. must be between $-1$ and $1$