Wednesday, November 17, 2010
3rd International Mathematical Olympiad 1961 Problems & Solutions
A1. Solve the following equations for x, y and z: x + y + z = a; x2 + y2 + z2 = b2; xy = z2. What conditions must a and b satisfy for x, y and z to be distinct positive numbers? A2. Let a, b, c be the sides of a triangle and A its area. Prove that: a2 + b2 + c2 ≥ 4√3 AWhen do we have equality? A3. Solve the equation cosnx - sinnx = 1,
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 ...
-
The left margin of this blog is entitled " Internet Integration in the Classroom " and it is composed of a number of great educati... -
Burnout Dominator is a car game available with the video games. It is well supported for Playstation 2 and the Playstation portable. No game...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.