AMO 2021 – Junior College (Grades 11–12) Question 12

AMO · AMO 2021 – Junior College (Grades 11–12)

Question 12

Given $\sqrt[3]{5+x}+\sqrt[3]{5-x}=1$, find $x^2$.

1. $13$
2. $27$
3. $39$
4. $52$
5. $65$