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?

katiemath22 Nov 16, 2018

#1**+2 **

I'm showing 2305

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

Rom Nov 17, 2018

#3**0 **

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

PartialMathematician Nov 19, 2018