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The Area of the Square

Source: 2005 National High School Mathematics League, Exam One, Problem 11

March 19, 2020
geometryconicsparabola

Problem Statement

One side of a square in on line y=2xāˆ’17y=2x-17, and two other points are on parabola y=x2y=x^2, then the minumum value of the area of the square is________.
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