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MathNet 2005 — Part 04 Question 16

Math Olympiad Vault · MathNet 2005 — Part 04

Question 16

Find the least value and the greatest value of the expression
$$
P = x + y
$$
where $x, y$ are real numbers satisfying the condition
$$
x - 3\sqrt{x + 1} = 3\sqrt{y + 2} - y.
$$