Question 63
Find all real numbers $x$, $y$ and $z$ such that all the following equations hold.
$$
x^2 - 3y - z = -8
$$
$$
y^2 - 5z - x = -12
$$
$$
z^2 - x - y = 6
$$
$$
x^2 - 3y - z = -8
$$
$$
y^2 - 5z - x = -12
$$
$$
z^2 - x - y = 6
$$
MathNet 2006 — Part 04 Question 63
Math Olympiad Vault · MathNet 2006 — Part 04