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Omni-MATH / Let u and v be real numbers such that (u+u²+u³+⋯+u⁸)+10u⁹=(v+v²+v³+⋯+v¹⁰)+10v¹¹=8. Determine, with proof, which of the two numbers, u or v , is larger. · Discussion

Discussing Let u and v be real numbers such that (u+u²+u³+⋯+u⁸)+10u⁹=(v+v²+v³+⋯+v¹⁰)+10v¹¹=8. Determine, with proof, which of the two numbers, u or v , is larger. · Omni-MATH

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