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Putnam 1975 A2

Source: Putnam 1975

February 17, 2022
Putnamanalytic geometryalgebraabsolute value

Problem Statement

Describe the region RR consisting of the points (a,b)(a,b) of the cartesian plane for which both (possibly complex) roots of the polynomial z2+az+bz^2+az+b have absolute value smaller than 11.
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