SOLUTION: Can you please solve this for me? I have to solve this using factoring: The sum of the squares of two consecutive negative even integers is 340. Find the integers.

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Question 33038: Can you please solve this for me? I have to solve this using factoring:
The sum of the squares of two consecutive negative even integers is 340. Find the integers.

Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
sum of the squares of two consecutive negative even integers is 340


let the first number be x
it must be negative and even,so it becomes '-2x'
Then the second number becomes '-2x+2'


So we get,
(-2x)^2+(-2x+2)^2=340
4x^2+(4x^2+4-8x)=340
8x^2-8x+4-340=0
8x^2-8x-316=0


Solve for x. then '-2x' and '-2x+2' give you the required numbers