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Are there m,n such that 5m^2 - 6mn + 7n^2 = 1985 ?

Source:

September 14, 2010
quadraticsnumber theory unsolvednumber theory

Problem Statement

Are there integers mm and nn such that 5m26mn+7n2=1985 ?5m^2 - 6mn + 7n^2 = 1985 \ ?