SOLUTION: The product of two consecutive positive integers is 109 more than their sum. Find the integers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The product of two consecutive positive integers is 109 more than their sum. Find the integers.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 284079: The product of two consecutive positive integers is 109 more than their sum. Find the integers.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X(X+1)=X+X+1+109
X^2+X=2X+110
X^2+X-2X-110=0
X^2-X-110=0
(X-11)(X+10=0
X-11=0
X=11 ANS
X+10=0
X=-10 ANS.
PROOF:
11(11+1)=11+12+109
11*12=132
132=132