Showing posts with label USA Mathematical Olympiad 1989. Show all posts
Showing posts with label USA Mathematical Olympiad 1989. Show all posts

Tuesday, June 23, 2015

USA Mathematical Olympiad 1989 Problem

USA Mathematical Olympiad 1989 Problem

Which is larger, the real root of $x + x^2 + ... + x^8 = 8 - 10x^9$, or the real root of $x + x^2 + ... + x^{10} = 8 - 10x^{11}$?

The upper part of the solution below is mine and the lower part belongs to the math professor from Arizona, USA.