Processing math: 100%
 
+0  
 
0
826
3
avatar+1713 

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?

 Nov 10, 2019
 #1
avatar+1713 
0

reposted.

 Nov 10, 2019
 #2
avatar+118708 
+1

 

Hi Tom..riddle  laugh

 

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?

|xy|=4x+y=16find|x2y2| (xy)2=16x2+y22xy=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.

 Nov 10, 2019
 #3
avatar+2864 
+1

Satisfying solution by Melody here!

CalculatorUser  Nov 10, 2019

1 Online Users

avatar