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ABCD square, AB along y=x+8, C,D on y=x^2 [ISI 2013/8]

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May 12, 2013
conicsparabolaanalytic geometry

Problem Statement

Let ABCDABCD be a square such that ABAB lies along the line y=x+8,y=x+8, and CC and DD lie on the parabola y=x2.y=x^2. Find all possible values of sidelength of the square.
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