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Sea el número N,
consecutivo = (N + 1)
Del enunciado:
N(N + 1) = 272
N^2 + N - 272 = 0
Por Báskara
Delta = 1^1 - 4(1)(-272) = 1089 raiz delta = 33
N = (-1 - 33)/2 = - 34/2 N1 = - 17
N = (-1 + 33)/2 = 32/2 N2 = 16
El número es entero.
Puede ser - 17 ó 16