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Equilateral Triangle Operation Solve for x

1925SpecialistCoordinate GeometryTransformations

Harvard-MIT Mathematics Tournament

Given points $a$ and $b$ in the plane, let $a \oplus b$ be the unique point $c$ such that $a b c$ is an equilateral triangle with $a, b, c$ in the clockwise orientation. Solve $(x \oplus (0,0)) \oplus (1,1) = (1,-1)$ for $x$.
0 students attempted0% solvedRating 1925

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