Wednesday, November 17, 2010
6th International Mathematical Olympiad 1964 Problems & Solutions
A1. (a) Find all natural numbers n for which 7 divides 2n - 1.(b) Prove that there is no natural number n for which 7 divides 2n + 1. A2. Suppose that a, b, c are the sides of a triangle. Prove that: a2(b + c - a) + b2(c + a - b) + c2(a + b - c) ≤ 3abc. A3. Triangle ABC has sides a, b, c. Tangents to the inscribed circle are constructed parallel to the
Subscribe to:
Post Comments (Atom)
Popular Posts
-
Boxhead The Zombie Wars Infomation: Fight an army of zombies using awesome new weapons How to play: WADS Keys to move. Space to shoot. Z to ...
-
Avatar Fortress Fight 2 Infomation: Launch fireballs and more at the other village. Try to take down their dojo by launching weapons. How to...
-
Check the flag is a fun and simple puzzle game . In this game your task is to make the enemy flag with the army you have...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.