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SMO 2017 Senior Round 1 Question 1

SMO · SMO 2017 Senior Round 1

Question 1

Find all the values of $k$ for which the expression $x^2+k(k-x)+3k$ is positive for all $x$.
  1. $0\lt k\lt 4$
  2. $-4\lt k\lt 0$
  3. $k\lt 0,\ k>4$
  4. $k>0,\ k\lt -4$
  5. None of the above