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Omni-MATH / There is a unique quadruple of positive integers (a,b,c,k) such that c is not a perfect square and a+√(b+√(c)) is a root of the polynomial x⁴−20x³+108x²−kx+9. Compute c. · Discussion

Discussing There is a unique quadruple of positive integers (a,b,c,k) such that c is not a perfect square and a+√(b+√(c)) is a root of the polynomial x⁴−20x³+108x²−kx+9. Compute c. · Omni-MATH

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