Quadratic function

Number Theory Level 3

How many ordered pairs ( x , y ) (x,y) satisfy x 2 − y 2 = 2000 x^2 - y^2 = 2000 , where x x and y y are positive integers?

0 3 6 4 5

Ossama Ismail by Ossama Ismail , 63, Egypt

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

E Koh
Sep 10, 2019

x^2 - y^2 = 2 000 => x^2 - y^2 = (2x1000),(4x500), (8x250),(10x200),(20x100), (40x50). There are 6 ordered pairs.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...