SOLUTION: the product of two consecutive positive integers is 29 more than their sum. find the integers.

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Question 369796: the product of two consecutive positive integers is 29 more than their sum. find the integers.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
let x = 1st positive integer
x + 1 = next positive integer
Then x(x+1) = x+x+1 +29.
x%5E2+%2B+x+=+2x+%2B+30
x%5E2+-+x-30+=+0
%28x-6%29%28x%2B5%29+=+0
The answer is only x = 6. (Why?)
Therefore the integers are 6 and 7.