SOLUTION: the product of two consecutive positive integers is 26 more than twice their sum. What are the integers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the product of two consecutive positive integers is 26 more than twice their sum. What are the integers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 318979: the product of two consecutive positive integers is 26 more than twice their sum. What are the integers?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x(x+1)=2(x+x+1)+26
x^2+x=4x+2+26
x^2-3x-28=0
x^2-7x+4x-28=0
x(x-7)+4(x-7)=0
(x-7)(x+4)=0
x=7
the numbers are 7, 8