MathDB

Sum of two cube roots equal to another cube root

Source: Cyprus 2021Junior TST-3 Problem 2

May 19, 2021

algebracube roots

Problem Statement

Let

x,y

be real numbers with

x \geqslant \sqrt{2021}

such that

\sqrt[3]{x+\sqrt{2021}}+\sqrt[3]{x-\sqrt{2021}} = \sqrt[3]{y}

Determine the set of all possible values of

y/x

.

Back to Problems View on AoPS