SOLUTION: I am thinking of two consecutive even integers. The sum of their squares is 340. What are the integers?

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Question 485250: I am thinking of two consecutive even integers. The sum of their squares is 340. What are the integers?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
n2+(n+2)2=340
n2+n2+4n+4=340
2n2+4n-336=0
n2+2n-168=0
(n+14)(n-12)=0
n=-14 or 12
Throwing out the negative answer, we get the integers to be 12 and 14..