SOLUTION: the product of two consecutive positive integers is 1 more than their sum. find the integers

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Question 1030656: the product of two consecutive positive integers is 1 more than their sum. find the integers
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the first integer. Then the second integer is n+1. So:
n(n+1)-1=n+(n+1)
nē+n-1=2n+1
nē-n-2=0
(n+1)(n-2)=0
n=-1 or 2
The positive integer is 2, so the integers are 2 and 3. ☺☺☺☺