SOLUTION: the product of two consecutive positive integers is 5 more than their sum. find the integers.

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Question 373395: the product of two consecutive positive integers is 5 more than their sum. find the integers.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let them be
x and x+1
and then let us translate...
x(x+1) = 5 + x + x+1
x^2 + x = 2x + 6
now collect and factor
x%5E2+-+x+-+6+=+0
%28x+-+3%29%28x+%2B+2%29+=+0
and solving we get
x = 3 and x = -2
But we need positive so throw the second solution out...
x = 3
x + 1 = 4