Factoring in a Quadratic Diophantine Equation || High School Math

[x, y are nonnegative integers such that (xy + 2)^2 = x^2 + y^2. Find all possible ordered pairs (x, y).]

Hallo, it's dumplet here! Here's a nice Diophantine equation from the Art of Problem Solving (AOPS) community!

Hope you guys learned something new from the video!

------------------------------------------------------------------------------------------------------------------------

Hello everybody, dumplet here!

This is a YouTube Channel for Elementary, High School and a bit of College Math! I post random math problems and tutorials to various topics seen from Elementary to College Mathematics, as well as common shortcuts, tricks and techniques in various National and International Mathematical Olympiads!

Contacts:

Twitter: @samwangwang
Instagram: @wonsenyi