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SMO 2010 Senior Round 1 Question 6

SMO · SMO 2010 Senior Round 1

Question 6

Find the number of ordered pairs $(x,y)$, where $x$ is an integer and $y$ is a perfect square, such that $y=(x-90)^2-4907$.
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$