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2015 AMC 10A Problem 12

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2015 AMC 10A Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 2 of 5 · about 3 min · position P11-15

Points (π,a)(\sqrt{\pi}, a) and (π,b)(\sqrt{\pi}, b) are distinct points on the graph of y2+x4=2x2y+1y^2+x^4=2x^2y+1 . What is ∣a−b∣|a-b| ?

  1. A)

    11

  2. B)

    π2\dfrac{\pi}{2}

  3. C)

    22

  4. D)

    1+π\sqrt{1+\pi}

  5. E)

    1+π1+\sqrt{\pi}

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