The difference between 2 integers is four, and the sum of two integers is sixteen. What is the absolute value of the difference of the squares of the integers?
Okay, ALL I can think of for this is guess and check. Is there a smarter method, and how?
Hi Tom..riddle
The difference between 2 integers is four, and the sum of two integers is sixteen. What is the absolute value of the difference of the squares of the integers?
|x−y|=4x+y=16find|x2−y2| (x−y)2=16x2+y2−2xy=16(1) x+y=16x2+y2+2xy=256(2) (2)−(1)4xy=240xy=60
So the 2 integers add to 16 and multiply to 60
You can take it from there.