+0  
 
0
86
3
avatar+4 

There are 4 positive integers: a, b, c, d

With the following conditions:

1 < a < b < c < d < 1000

b+c = a+d

bc - ad = 2004

How many sets of (a, b, c, d) are there?

 Nov 16, 2018
 #1
avatar+3952 
+2

I'm showing 2305

 

What class is this?  Is there supposed to be some clever way of figuring this out?

 Nov 17, 2018
 #2
avatar+679 
0

I am pretty sure this is number theory. 

 Nov 19, 2018
 #3
avatar+679 
0

I think Vieta's formula might work in here, but I am not sure how to proceed.

 Nov 19, 2018

32 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.