SOLUTION: the product of two consecutive positive integers is 11 more than their sum. find the intergers

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Question 382818: the product of two consecutive positive integers is 11 more than their sum. find the intergers
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be x & x+1
Product = x(x+1)
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x+x+1+11
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x(x+1)=x+x+1+11
x^2+x=2x+12
-2x -2x
x^2-2x+x=12
x^2-x=12
-12 -12
x^2-x-12=0
(x-4)(x+3)=12
x= 4 OR -3
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4,5 OR -3,-2
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m.ananth@hotmail.ca