SOLUTION: The product of two consecutive integers is 5 more than their sum. Find the integers.

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Question 561631: The product of two consecutive integers is 5 more than their sum. Find the integers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let x & x+1 be the numbers
x(x+1) = x+x+1+5
x^2+x=2x+6
x^2-x-6=0
x^2-3x+2x-6=0
x(x-3)+2(x-3)=0
(x+2)(x-3)=0
x=-2 OR 3
The numbers are
3& 4 OR -2,-1