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2024 SSMO Speed Round Problems/Problem 10

Revision as of 15:42, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>a_1, a_2, \dots a_{14}</math> be the roots of <math>(x^7-x^3+2)^2=0</math>. Find the value of <math>\prod_{i=1}^{14} (a_i^7+1)</math>. ==Solution==")
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Problem

Let $a_1, a_2, \dots a_{14}$ be the roots of $(x^7-x^3+2)^2=0$. Find the value of $\prod_{i=1}^{14} (a_i^7+1)$.

Solution

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