x^6 - 100x+1 = 0 (II Soros Olympiad 1995-96 R2 11.4)
Source:
June 3, 2024
algebrapolynomial
Problem Statement
Prove that the equation has two roots, and both of these roots are positive.
a) Find the first non-zero digit in the decimal notation of the lesser root of this equation.
b) Find the first two non-zero digits in the decimal notation of the lesser root of this equation.