SOLUTION: MATH QUESTION~ The sum of the squares of four consecutive positive odd numbers is 596. What are the numbers? Please help me! Thank you!

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Question 759508: MATH QUESTION~
The sum of the squares of four consecutive positive odd numbers is 596. What are the numbers?
Please help me!
Thank you!
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive odd numbers: x, (x+2), (x+4), (x+6)

x^2 + (x+2)^2 + (x+4)^2 + (x+6)^2 = 596
x^2 + x^2 + 4x + 4 + x^2 + 8x + 16 + x^2 + 12x + 36 = 596
4x^2 + 24x + 56 = 596
x^2 + 6x + 14 = 149
x^2 + 6x - 135 = 0
(x + 15)(x - 9) = 0
x = -15, x = 9

x has to be positive, so the numbers are 9, 11, 13, and 15.