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

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

Algebra.Com

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) (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..
RELATED QUESTIONS
I am thinking of two consecutive even integers. The sum of their squares is 340. what are (answered by nerdybill)

find two consecutive even integers such that the sum of their squares is 340. (answered by nyc_function)

the sum of the squares of two consecutive positive even integers is 340. find the... (answered by HyperBrain)

the sum of the squares of two consecutive positive even integers is 340. find the... (answered by bucky)

The sum of the squares of two consecutive even positive integers is 340.Find the... (answered by checkley77)

the sum of the squares of two consecutive positive even integers is 340. Find the... (answered by harpazo)

I am thinking of two consecutive odd integers. The sum of their squares is 130. Find... (answered by Alan3354)

The sum of the squares of two consecutive positive even integers is 340. What are the... (answered by Earlsdon)

Solve the following problem: The sum of the squares of two consecutive positve even... (answered by Alan3354,Mathtut)