MathDB

12

Part of 2019 Japan TST

Problems(1)

Japan TST 2019

Source:

1/6/2020
Given that x,yx,y are real numbers such that x3+y,x2+y2,x+y3 x^3 + y, x^2 + y^2, x + y^3 are all integers. Prove that x,yx,y are integers as well.
JapanalgebraTST