Question

What are two consecutive even integers whose product is 1224?

Answer 1

$2a,2a+2-\ two\ even \ consecutive\ numbers\\\\ 2a(2a+2)=1224\\ 4a^2+4a-1224=0\\\\ (2a-17)(2a+18)=0\\\\ a=34\ or\ a=-36\\\ Numbers\ are:\ -36, -34\ \ \ or\ \ 34\ and\ 36.$

Answer 2

You have your choice of two pairs of consecutive even integers:

-36  and  -34

OR

34  and  36 .