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

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive integers such that the product of the smallest and the largest is one less than 9 times the middle integer.      Log On


   

Question 1004061: Find three consecutive integers such that the product of the smallest and the largest is one 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 are {0, 1, 2} or {9, 10, 11}.