SOLUTION: The sum of the squares of three consecutive integers integers is 596. What are the numbers?

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Question 957607: The sum of the squares of three consecutive integers integers is 596. What are the numbers?
Answer by Alan3354(69443) About Me  (Show Source):
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The sum of the squares of three consecutive integers integers is 596. What are the numbers?
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596/3 =~ 199
sqrt(199) =~ 14
--> 13, 14 & 15
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13^2 + 14^2 + 15^2 = 590
14^2 + 15^2 + 16^2 = 677
--> no solution for 596