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Putnam 1952 A3

Session A

Develop necessary and sufficient conditions which ensure that $r_{1}, r_{2}, r_{3}$ and $r_{1}{ }^{2}, r_{2}{ }^{2}, r_{3}{ }^{2}$ are simultaneously roots of the equation $x^{3}+a x^{2}+b x+c$ $=0$

Dataset text PutnamGAP. Quoted with source.

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