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Omni-MATH / Let r₁,…,r_(n) be the distinct real zeroes of the equation x⁸−14x⁴−8x³−x²+1=0. Evaluate r₁²+⋯+r_(n)²

Problem

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problem

Let r1,…,rnr_{1}, \ldots, r_{n} be the distinct real zeroes of the equation x8−14x4−8x3−x2+1=0x^{8}-14 x^{4}-8 x^{3}-x^{2}+1=0. Evaluate r12+⋯+rn2r_{1}^{2}+\cdots+r_{n}^{2}
Plain-text mathematical notation (without MathML)
Let r₁,…,r_(n) be the distinct real zeroes of the equation x⁸−14x⁴−8x³−x²+1=0. Evaluate r₁²+⋯+r_(n)²
Original LaTeX notation
Let $r_{1}, \ldots, r_{n}$ be the distinct real zeroes of the equation $x^{8}-14 x^{4}-8 x^{3}-x^{2}+1=0$. Evaluate $r_{1}^{2}+\cdots+r_{n}^{2}$

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Source and history

task_id
e6078b91-3a35-5dd9-b9e6-6d42cebf5658
task_key
test--e6078b91-3a35-5dd9-b9e6-6d42cebf5658
task_revision_id
1
config / split
/ test

Official source

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