This problem is a beautiful application of algebraic manipulations, ideas of symmetry, and vieta's formula in polynomials. Try with our sequential hints.
This problem is a beautiful application of algebraic manipulations, ideas of symmetry, and vieta's formula in polynomials. Try with our sequential hints.
This problem is cute and intermediate application of the basic geometry principles. Try out this problem with our sequential hints.
A beautiful problem form American Math Contest (AMC 10A) 2005, Problem 22 solution. Key idea here is to apply the greatest integer function.
This is a bashing problem of combinatorics that will require the idea of patiently solving out the cases with intricate details and patience. Try with our sequential hints.
A beautiful problem form American Math Contest (AMC 10A) 2006, Problem 21 solution. Key idea is to use basic calculation.
AMC 10A 2013, Problem 21 needed a clever trick to play with numbers. See the solution with sequential hints.
AMC 10A 2014, Problem 24 needed a clever trick of number theory. See the solution with sequential hints. A sequence of natural numbers is constructed by listing the first
This problem is a very basic, tricky and intuitive application resulting in the solutions of a diophantine equation and unique representation of a number. Try with our sequential hints.
This problem is an intermediate application of the polynomials and invoking a cute number theoritic argument to make it a good problem to try with our sequential hints.
American Math Contest (AMC 10A) 2007, Problem 20 solution. Well, this is a very basic but interesting algebra problem where we can play with squares.