VMO 2005

Algebra Level 5

\[\large x-3\sqrt{x+1}=3\sqrt{y+2}-y\]

If \(x\geq -1\) and \(y\geq -2\) satisfy the equation above, find the closed form of the sum of the maximum and the minimum value of \(A=x+y\).

Submit your answer to 3 decimal places

This problem is part of the set: Max and min.

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