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1985 Austrian Math Olympiad Problems by Karn Kumar is a document available to read on EtoBox.

The document summarizes problems from the 1985 Austrian Mathematical Olympiad final round over two days: Day 1: (1) Find quadruples (a, b, c, d) such that a^2 + b^2 + c^2 + d^2 = a^2b^2c^2. (2) Find the minimum value of f(n+1)/f(n) where f(n) is a sum of terms from 1 to n. (3) Prove that points constructed based on a line intersecting a triangle are collinear. Day 2: (4) Find n such that a polynomial equation has real solutions for all real coefficients. (

Author

Karn Kumar

Language

EN