Find integer solutions of system: x + y = z arctan x = arctan y + arctan z

D ducnhuandoan Nov 2011 44 0 Vietnam Nov 25, 2019 #1 Find integer solutions of system: x + y = z arctan x = arctan y + arctan z

skipjack Forum Staff Dec 2006 21,482 2,472 Nov 25, 2019 #3 As a follow-up question, find the integer solutions of the system $x + y = z$, $3 \arctan x = \arctan y + \arctan z$.

As a follow-up question, find the integer solutions of the system $x + y = z$, $3 \arctan x = \arctan y + \arctan z$.

idontknow Dec 2015 1,084 169 Earth Nov 26, 2019 #4 \(\displaystyle \begin{cases}x+y=z \\ x=\dfrac{y+z}{1-yz} \end{cases}\).

D ducnhuandoan Nov 2011 44 0 Vietnam Dec 3, 2019 #5 ducnhuandoan said: A hint to the staff and everyone. Find an only integer solution of system: x + y = z arctan x = arctan y + arctan z Click to expand...

ducnhuandoan said: A hint to the staff and everyone. Find an only integer solution of system: x + y = z arctan x = arctan y + arctan z Click to expand...

skipjack Forum Staff Dec 2006 21,482 2,472 Dec 3, 2019 #6 I thought DarnItJimImAnEngineer had already given the solutions.