SOLUTION: the product of two consecutive integers is 2 more than two times their sum. find the integers.

Question 1025295: the product of two consecutive integers is 2 more than two times their sum. find the integers.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Two consecutive integers
n, n + 1
the product of two consecutive
integers is 2 more than two times their sum.
n(n + 1) = 2(n + (n + 1)) + 2
n^2 + n = 2(2n + 1) + 2
n^2 + n = 4n + 2 + 2
n^2 + n = 4n + 4
Collect like terms on left
n^2 - 3n - 4 = 0
(n + 1)(n - 4)= 0
n + 1 = 0
n = -1(Disregard as -ve)
n - 4 = 0
n = 4
Two integers are 4 and 5.
Hope this helps :-)
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