Question 17
Find all real solutions of the equation
$$
3^{x^{2}-x-y}+3^{y^{2}-y-z}+3^{z^{2}-z-x}=1
$$
$$
3^{x^{2}-x-y}+3^{y^{2}-y-z}+3^{z^{2}-z-x}=1
$$
MathNet 2007-part-03 — 185 problems (EN–VI) Question 17
Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)