Maths Inequaliities Methods

Volume Number December 2005 January 2006 Using Tangent Lines Prove Inequalities Kin Yin Olympiad Corner Below The Czech Polish Slovak

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Volume 10 Number 5 December 2005 January 2006 Using Tangent Lines To Prove Inequalities Kin Yin Li Olympiad Corner Below Is The Czech Polish Slovak Match Held In Zwardon On June 20 21 2005 Problem 1 Let N Be A Given Positive Integer Solve The System Of Equations 3 3 2 21 Nxxxx N N L 2 1 32 321 Nn Nxxxx N L In The Set Of Nonnegative Real Numbers X 1 X 2 X N Problem 2 Let A Convex Quadrilateral ABCD Be Inscribed In A Circle With Center O And Circumscribed To A Circle With Center I And Let Its Diagonals AC And BD Meet At A Point P Prove That The Points O I And P Are Collinear Problem 3 Determine All

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