MathDB

Irrational number

Source: Romanian District Olympiad 2014, Grade 9, P1

June 15, 2014

algebra solvedalgebra

Problem Statement

Find the

x\in \mathbb{R}\setminus \mathbb{Q}

such that

x^2+x\in \mathbb{Z}\text{ and }x^3+2x^2\in\mathbb{Z}