SOLUTION: The sum of the square of three consecutive odd integers is 371. Find the odd integers

Question 1120049: The sum of the square of three consecutive odd integers is 371. Find the odd integers

Found 3 solutions by math_helper, Alan3354, Shin123:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

n=9 and or n=-13
n=9: integers are 9,11,13
Check:

and

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Tutor MathTherapy showed this method, which is a bit quicker, and perhaps less error-prone :
Let n = the middle integer
n-2 = smaller
n+2 = larger

n = 11 and/or n=-11 which gives the same solutions (9,11,13) and (-13,-11,-9).
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Very good method tutor Alan3354! Thanks.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The sum of the square of three consecutive odd integers is 371. Find the odd integers
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371/3 = 123.666....
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sqrt(123) =~ 11, the middle number
---> 9, 11 & 13

Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!

n=13 or -9. The numbers are 9,11,13 or -13,-11,-9. Check:

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