olymmath

NZ-NZMO 2019 Problem 2

  • Answer

Find all real solutions to the equation

(x2+3x+1)x2−x−6=1.(x^{2} + 3x + 1)^{x^{2} - x - 6} = 1.

Dataset text NuminaMath olympiads. Quoted with source.

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x = -3, -2, -1, 0, 3

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