SOLUTION: The product of two consecutive even integers is ten more than five times their sum. What are the integers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The product of two consecutive even integers is ten more than five times their sum. What are the integers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1114493: The product of two consecutive even integers is ten more than five times their sum. What are the integers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N and N%2B2 be the integers.
N%28N%2B2%29=10%2B5%28N%2BN%2B2%29
N%5E2%2B2N=10%2B10N%2B10
N%5E2-8N-20=0
%28N-10%29%28N%2B2%29=0
Two solutions:
N-10=0
N=10
10,12
and
N%2B2=0
N=-2
-2,0