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

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

Question 11

If $x^2/2+y^2/3=4$, find the greatest value of $x+y$.

1. $2\sqrt3$
2. $4$
3. $2\sqrt5$
4. $2\sqrt6$
5. $2\sqrt7$