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\sqrt{\frac{x-7}{1990}}+ ..=\sqrt{\frac{x-1989}{7}}+....1996 Romania NMO VII p2

Source:

August 13, 2024
algebraRadicals

Problem Statement

Find all real numbers xx for which the following equality holds :
x−71989+x−61990+x−51991=x−19897+x−19906+x−19915\sqrt{\frac{x-7}{1989}}+\sqrt{\frac{x-6}{1990}}+\sqrt{\frac{x-5}{1991}}=\sqrt{\frac{x-1989}{7}}+\sqrt{\frac{x-1990}{6}}+\sqrt{\frac{x-1991}{5}}
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