Let roots be alpha and alpha+1

Sum of roots = 5(n-1)/2 = 2*alpha + 1

Rearranging equation to have only n LHS, n = (2/5)(2*alpha + 1) + 1

Prod. of roots = alpha(alpha + 1) = 6

alpha^2 + alpha - 6 = 0

Quadratic formula, alpha = -3 or 2.

Subbing into n = ....

n = -1 or 3.

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