SOLUTION: The product of two consecutive positive odd integers is 255. What are the integers?

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Question 218379: The product of two consecutive positive odd integers is 255. What are the integers?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x. then the next larger odd integer is x+2
x+%2A+%28x%2B2%29+=+255
x%5E2+%2B+2x+=+255
x%5E2+%2B+2x++-+255+=+0
%28x%2B17%29%28x-15%29+=+255
So the numbers can be -17 or 15. The problem said "positive odd", so x = 15. That makes x+2 = 17