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2015 Algebra #6

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July 1, 2022
2015Algebra Test

Problem Statement

Find all triples of integers (x,y,z)(x,y,z) which satisfy the equations \begin{align*} x^2-y-2z&=4\\ y^2-2z-3x&=-2\\ 2z^2-3x-5y&=-22.\\ \end{align*}
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