olymmath

BALTIC-WAY 1991 Problem 9

  • Answer

Find the number of solutions of the equation aex=x3a e^{x}=x^{3}.

Dataset text NuminaMath olympiads. Quoted with source.

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a \leq 0 \text{ or } a = \frac{27}{e^3} \text{ (1 solution)}, 0 < a < \frac{27}{e^3} \text{ (2 solutions)}, a > \frac{27}{e^3} \text{ (0 solutions)}

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