SOLUTION: The sum of the squares of three consecutive integers is 110. Find the numbers
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Question 407125: The sum of the squares of three consecutive integers is 110. Find the numbers
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We could obtain a cubic, using the equation
. However, the problem implies that x is an integer, so the easiest way is probably to guess and check. We obtain x = 5 as our answer, as 25 + 36 + 49 = 110. However, x = -7 works as well, because . Therefore the integers are either {5, 6, 7} or {-7, -6, -5}.
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