35th Austrian Mathematical Olympiad 2004
Source: round1, problem2
February 11, 2009
algebra unsolvedalgebra
Problem Statement
Solve the following equation for real numbers:
\sqrt{4\minus{}x\sqrt{4\minus{}(x\minus{}2)\sqrt{1\plus{}(x\minus{}5)(x\minus{}7)}}}\equal{}\frac{5x\minus{}6\minus{}x^2}{2}
(all square roots are non negative)