Find integer solutions

Nov 2011
44
0
Vietnam
Find integer solutions of system:
x + y = z
arctan x = arctan y + arctan z
 

skipjack

Forum Staff
Dec 2006
21,482
2,472
As a follow-up question, find the integer solutions of the system
$x + y = z$,
$3 \arctan x = \arctan y + \arctan z$.
 
Dec 2015
1,084
169
Earth
\(\displaystyle \begin{cases}x+y=z \\ x=\dfrac{y+z}{1-yz} \end{cases}\).
 

skipjack

Forum Staff
Dec 2006
21,482
2,472
I thought DarnItJimImAnEngineer had already given the solutions.