Monthly Archives: August 2018

ISL 2017 A1

Problem A1: Let and be positive integers such that     If , prove that the polynomial     has no positive roots. Solution A1: We appeal to a similar strategy that is used in IMO 2012-2. Write     … Continue reading

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IMO 2018 Day 2

Day 2 had a bunch of really nice problems with more advanced techniques required to solve them. Problem 6 is also hard and I will be writing it up at a later time. Problem 4: A site is any point … Continue reading

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IMO 2018 Day 1

I have solved problems 1 and 2. I have not yet attempted problem 3 but I believe that it is beyond me, especially within a time frame of four and a half hours. Problem 1: Let be the circumcircle of … Continue reading

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