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2024 AMC 10A Problem 11

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2024 AMC 10A Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 3 of 5 · about 3 min · position P11-15

How many ordered pairs of integers (m,n)(m, n) satisfy n2−49=m\sqrt{n^2 - 49} = m ?

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    44

  5. E)

    infinitely many\text{infinitely many}

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