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> Logic> Probability> Shapes> General
> Numbers (3)> Games> Paradoxes> Riddles
> Just Math (3)> Science> Algorithms
Suppose each of x and y is a real number > 0

Find the minimum value of:

 
2x2+2y2+3xy+1
-------------
     x+y

(No Solution Yet, 1 Comments) Submitted on 2024-05-18 by K Sengupta   
Difficulty: 3 of 5 Bonus: Crash Course (in General) Rating: 4.14
You have broken into Contraplexus headquarters, a secret organization bent on destroying all puzzles in the world, with the task of procuring the latest research they have developed in another room.

Most of the building is one large room with several desks, and to the north is the door leading into the next room.

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^

The difficulty is your spy boots have tracked in mud, so you can't walk across the floor; instead you enter from the south doorway and steal the only office chair from a nearby desk.

Thus, you continue rolling forward until you crash into a desk or wall. Then, you can either move right or left from the spot you crashed, until you crash again, trying to eventually slide through to the next room. What path should you take?
(No Solution Yet, 11 Comments) Submitted on 2006-12-01 by Gamer   
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