Question 78
Define $x \star y = \frac{\sqrt{x^{2} + 3 x y + y^{2} - 2 x - 2 y + 4}}{x y + 4}$. Compute
$$
((\cdots((2007 \star 2006) \star 2005) \star \cdots) \star 1).
$$
$$
((\cdots((2007 \star 2006) \star 2005) \star \cdots) \star 1).
$$
MathNet 2007-part-03 — 185 problems (EN–VI) Question 78
Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)