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1959 AMC 12 Question 34

AMC12 · 1959 AMC 12

Question 34

Let the roots of $x^2-3x+1=0$ be $r$ and $s.$ Then the expression $r^2+s^2$ is:
  1. a positive integer
  2. a positive fraction greater than $1$
  3. a positive fraction less than $1$
  4. an irrational number
  5. an imaginary number