MathDB

x

and

y

are real numbers.

A)

If it is known that x \plus{} y and x \plus{} y^2 are rational numbers, can we conclude that

x

and

y

are also rational numbers.

B)

If it is known that x \plus{} y , x \plus{} y^2 and x \plus{} y^3 are rational numbers, can we conclude that

x

and

y

are also rational numbers.

Problem Statement