SOLUTION: Find the largest of three consecutive odd integers such that the product of the first and third is one more than four time the second.

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Question 1028553: Find the largest of three consecutive odd integers such that the product of the first and third is one more than four time the second.
Answer by Alan3354(69443) About Me  (Show Source):
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Find the largest of three consecutive odd integers such that the product of the first and third is one more than four time the second.
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Use n-2, n, n+2
(n-2)*(n+2) = 4n+1
n^2-4 = 4n+1
n^2 - 4n - 5 = 0
(n-5)*(n+1) = 0
--> 3, 5 & 7
or -3, -1, +1