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Omni-MATH / Let r=√((√(53))/(2)+(3)/(2)). There is a unique triple of positive integers (a,b,c) such that r¹⁰⁰=2r⁹⁸+14r⁹⁶+11r⁹⁴−r⁵⁰+ar⁴⁶+br⁴⁴+cr⁴⁰. What is the value of a²+b²+c²? · Discussion

Discussing Let r=√((√(53))/(2)+(3)/(2)). There is a unique triple of positive integers (a,b,c) such that r¹⁰⁰=2r⁹⁸+14r⁹⁶+11r⁹⁴−r⁵⁰+ar⁴⁶+br⁴⁴+cr⁴⁰. What is the value of a²+b²+c²? · Omni-MATH

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