2

Part of 2004 Regional Competition For Advanced Students

Problems(1)

35th Austrian Mathematical Olympiad 2004

Source: round1, problem2

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)

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