olymmath

ISL 2016 A6

  • Answer

The equation (x−1)(x−2)⋯(x−2016)=(x−1)(x−2)⋯(x−2016)(x-1)(x-2) \cdots(x-2016)=(x-1)(x-2) \cdots(x-2016) is written on the board. One tries to erase some linear factors from both sides so that each side still has at least one factor, and the resulting equation has no real roots. Find the least number of linear factors one needs to erase to achieve this.

Dataset text NuminaMath olympiads. Quoted with source.

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2016

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