SOLUTION: Please help me solve this problem: Find three consecutive odd integers such that the product of the two smaller exceeds the largest by 52

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Question 837739: Please help me solve this problem: Find three consecutive odd integers such that the product of the two smaller exceeds the largest by 52

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive odd integers: (x-2), x, (x+2)

(x-2)(x) = x+2 + 52
x^2 - 2x = x + 54
x^2 - 3x - 54 = 0
(x - 9)(x + 6) = 0

x is odd, so the integers are 7, 9, and 11.