MathDB
Digits

Source: RMO 2003, District Round

May 29, 2006
quadraticsalgebraquadratic formula

Problem Statement

Find n∈N\displaystyle n \in \mathbb N, n≥2\displaystyle n \geq 2, and the digits a1,a2,…,an\displaystyle a_1,a_2,\ldots,a_n such that a1a2…an‾−a1a2…an−1‾=an. \displaystyle \sqrt{\overline{a_1 a_2 \ldots a_n}} - \sqrt{\overline{a_1 a_2 \ldots a_{n-1}}} = a_n .
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