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n, n+1
Por dato.
n^2 + (n+2)^2 = 85
n^2 + n^2 + 4n - 81= 0
2n^2 + 4n - 81= 0
(2n)^2 +4(2n) -162= 0
dadas las condiciones del planteamiento, no existe el número buscado.