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2020 AMC 10B Question 9

AMC10 · 2020 AMC 10B

Question 9

How many ordered pairs of integers $(x, y)$ satisfy the equation $$
x^{2020}+y^2=2y?
$$
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. infinitely many