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

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Question 457142: The product of two consecutive positive integers is 1 more than their sum. Find the integers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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two consecutive positive integers
x, (x+1)
:
The product of two consecutive positive integers is 1 more than their sum.
x(x+1) = x + (x+1) + 1
x^2 + x = 2x + 2
x^2 + x - 2x - 2 = 0
x^2 - x - 2 = 0
Factors to:
(x - 2)(x + 1) = 0
the positive solution
x = 2
:
The two integers: 2, 3
:
:
Check 2(3) = 2 + 3 + 1