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SMO 2005 Senior Round 1 Question 3

SMO · SMO 2005 Senior Round 1

Question 3

Let $p$ be a real number such that the equation $2y^2-8y=p$ has only one solution. Then which statement is true?
  1. $p\lt 8$
  2. $p=8$
  3. $p\gt -8$
  4. $p=-8$
  5. $p\lt -8$