SOLUTION: The product of two consecutive even integers is 168. Find the integers. PLEASE HELP!

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Question 108673This question is from textbook
: The product of two consecutive even integers is 168. Find the integers. PLEASE HELP! This question is from textbook

Answer by wgunther(43) About Me  (Show Source):
You can put this solution on YOUR website!
Let k be the smaller of the two integers. So k+2 is the next even integers. so
k%28k%2B2%29=168
k%5E2%2Bk-168=0
%28k%2B14%29%28k-12%29=0
So, k is either 12 or -14. By convention, even numbers are positive. So they two integers you are looking for are 12 and 14.