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1970 AMC 12 Question 14

AMC12 · 1970 AMC 12

Question 14

Consider $x^2+px+q=0,$ where $p$ and $q$ are positive numbers. If the roots of this equation differ by $1,$ then $p$ equals:
  1. $\sqrt{4q+1}$
  2. $q-1$
  3. $-\sqrt{4q+1}$
  4. $q+1$
  5. $\sqrt{4q-1}$