MathDB

3

Part of 2009 Stanford Mathematics Tournament

Problems(3)

SMT 2009 Algebra 3

Source:

12/27/2011
Find all integer pairs (a,b)(a, b) such that ab+aāˆ’3b=5ab+a-3b=5
SMT 2009 Geometry 3

Source:

12/27/2011
Given a regular pentagon, fi nd the ratio of its diagonal, dd, to its side, aa
geometryratiotrigonometrytrig identitiesLaw of Cosines
SMT 2009 Team 3

Source:

12/27/2011
If xx and yy are positive integers, and x4+y4=4721x^4+y^4=4721, find all possible values of x+yx+y