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The length 2 cos(2/13) is a root of p(x) = x 1 ax2-x+a 1, where a is the larger root of === q(x) =

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The length 2 cos(2/13) is a root of p(x) = x 1 ax2-x+a 1, where a is the larger root of === q(x) = x+x 3. What center (a, b) should we use to solve the cubic? Note that the center is constructible using just a straightedge and compass.

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