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coordinates of vertices of square wanted

Source: Spanish Mathematical Olympiad 1983 P5

December 23, 2022
analytic geometrysquare

Problem Statement

Find the coordinates of the vertices of a square ABCDABCD, knowing that AA is on the line y−2x−6=0y -2x -6 = 0, CC at x=0x = 0 and BB is the point (a,0)(a, 0) , being a=log⁡2/3(16/81)a = \log_{2/3}(16/81).
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