About this document
2005 Donova Math Olympiad Problems by Ian's Life is a document available to read on EtoBox.
The document summarizes problems from the 2005 Donova Mathematical Olympiad: 1) Prove that the equation 4x3 − 3x + 1 = 2y 2 has at least 31 solutions in positive integers x and y with x ≤ 2005. 2) Prove that the sum Sn is divisible by 2n−1 for any positive integer n. 3) Prove that the reflection of the point S in the point P lies on the line M T, given a circle with points S, T on it and a point M different from S and T, with a line from outside point A to M meeting the perpendicular from S to line MO
- Author
- Ian's Life
- Language
- EN