Problem 15 (2021 Fall AMC 10B)
AMC 10BHard
From module Right Triangles and Pythagorean Triples
Problem
The real number x satisfies the equation x + 1/x = 2cos(2π/7). What is the value of x^7 + 1/x^7?
From module Right Triangles and Pythagorean Triples
The real number x satisfies the equation x + 1/x = 2cos(2π/7). What is the value of x^7 + 1/x^7?