SOLUTION: Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the median integer

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Question 1015141: Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the median integer
Answer by Alan3354(69443) About Me  (Show Source):
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Find three positive consecutive integers such that the product of the smallest and the largest is 17 more than three times the median integer
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Use n-1, n & n+1
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(n-1)*(n+1) = 3n+17
n^2-1 = 3n+17
n^2 - 3n - 18 = 0
etc.