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AMO 2021 – Junior College (Grades 11–12) Question 8

AMO · AMO 2021 – Junior College (Grades 11–12)

Question 8

How many ordered pairs of integers $(x,y)$ satisfy $x^{2022}+y^2=2y$?

Question illustration
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$