SOLUTION: Find 3 consecutive integers such that the product of the smallest and largest integers is 1 less than 9 times the middle integer

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Question 796740: Find 3 consecutive integers such that the product of the smallest and largest integers is 1 less than 9 times the middle integer
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: (x-1), x, (x+1)

(x-1)(x+1) = 9x - 1
x^2 - 1 = 9x - 1
x^2 - 9x = 0
x(x - 9) = 0
x = 0, x = 9

The integers could be (-1, 0, 1) or (8, 9, 10).