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BALTIC-WAY 1993 Problem 4

  • Answer

Determine all integers nn for which

252+6254−n+252−6254−n\sqrt{\frac{25}{2}+\sqrt{\frac{625}{4}-n}}+\sqrt{\frac{25}{2}-\sqrt{\frac{625}{4}-n}}

is an integer.

Dataset text NuminaMath olympiads. Quoted with source.

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n=0 \text{ and } n=144

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