SOLUTION: The product of two consecutive positive integers is 5 more than their sum. What are the integers?

Algebra ->  Volume -> SOLUTION: The product of two consecutive positive integers is 5 more than their sum. What are the integers?      Log On


   

Question 682537: The product of two consecutive positive integers is 5 more than their sum. What are the integers?
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's represent the two consecutive integers as:
x
x+1
Now we can set up the equation as:
x(x+1)=x+(x+1)+5
Expand this:
x^2+x=2x+6
Subtract 2x and 6 to get:
x^2-x-6=0
Factor:
(x-3)(x+2)=0
Solve for x:
x=3
x=-2
Since we know it's not a negative integer the answer is
3 and 4
Make sense?
RJ
www.math-unlock.com