MathDB

2

Part of 2017 Baltic Way

Problems(1)

Finite set of real numbers

Source: Baltic Way 2017 Problem 2

11/14/2017
Does there exist a finite set of real numbers such that their sum equals 22, the sum of their squares equals 33, the sum of their cubes equals 44, ..., and the sum of their ninth powers equals 1010?
algebrasystem of equationsinequalities