SOLUTION: Hi, I'm having some difficulty solving this word problem. I've tried several different methods to solving it, and cannot seem to find a solution. Your help is greatly appreciat

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Question 88191: Hi,
I'm having some difficulty solving this word problem. I've tried several different methods to solving it, and cannot seem to find a solution. Your help is greatly appreciated and I thank you in advance!
Here is the problem:
"The product of two consecutive positive even integers is 360. Find the integers."
Thanks!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive even integers are 2 numbers apart; so if one is x, the other is x+2

x(x+2)=360 ... x^2+2x=360 ... x^2+2x-360=0 ... factoring gives (x-18)(x+20)=0 ... so x=18, and x+2=20