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2020 AMC 10B Problem 9

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2020 AMC 10B Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 2 of 5 · about 3 min · position P1-10

How many ordered pairs of integers (x,y)(x,y) satisfy the equation x2020+y2=2y?x^{2020} + y^2 = 2y?

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    44

  5. E)

    infinitely many\text{infinitely many}

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