SOLUTION: The product of two consecutive positive intergers is 55 more than their sum. Find the intergers?

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Question 207265: The product of two consecutive positive intergers is 55 more than their sum. Find the intergers?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+1+55=x(x+1)
2x+56=x^2+x
x^2+x-2x-56=0
x^2-x-56=0
(x-8)(x+7)=0
x-8=0
x=8 ans. y=9 ans.
Proof:
8+9+55=8*9
17+55=72
72=72