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MathNet 2019-part-04 — 184 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 116

Find all real solutions to the equation
$$(x^{2} + 3x + 1)^{x^{2} - x - 6} = 1.$$