AMC 12A 2023 (Problem 23)
How many ordered pairs of positive real numbers satisfy the equation ?
By the AM-GM Inequality,
By the AM-GM Inequality,
By the AM-GM Inequality,
By multiplying the results of Hints 1, 2, and 3,
From the assumption of the problem,
By Hints 1, 2, 3, and 4, and the fact that equality in the AM-GM Inequality holds when the two terms are equal,
By Hints 1, 2, 3, and 4, and the fact that equality in the AM-GM Inequality holds when the two terms are equal,
(B)