SOLUTION: the sum of the squares of three consecutive odd number is 83,find the number

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Question 563558: the sum of the squares of three consecutive odd number is 83,find the number
Found 2 solutions by richard1234, Alan3354:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
3^2 + 5^2 + 7^2 = 83, (-7)^2 + (-5)^2 + (-3)^2

You could do it the algebraic way, but we know they're integers so guess-and-check is much faster.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the squares of three consecutive odd number is 83,find the number
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83/3 =~ 27
sqrt(27) =~ 5, the middle number
--> 3, 5 & 7, plus and minus
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You can do
(x-2)^2 + x^2 + (x+2)^2 = 83, where x is the middle number
same answer