SOLUTION: the sum of the squares of two consecutive integers is 145. find the integers.

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Question 795513:
the sum of the squares of two consecutive integers is 145. find the integers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: x, (x+1)

x^2 + (x+1)^2 = 145
x^2 + x^2 + 2x + 1 = 145
2x^2 + 2x - 144 = 0
x^2 + x - 72 = 0
(x + 9)(x - 8) = 0
x = -9, x = 8

The integers could be -9 and -8 or 8 and 9.