Question

ok this is mine
\[f(x)=\sqrt[3]{x-1}+\sqrt[3]{3-x}\]find all \(x \in \mathbb{R}\) such that \(f(x) \in \mathbb{N}\)

Answer 1

f(x)=2 and 1

Answer 2

how?

Answer 3

@nipunmalhotra93 @sauravshakya

post complete solution ... i'll check it later

Answer 4

Take it to the form a^3+b^3