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★ 7/10functions Reflection algebra Symmetry

Problem

Let $x_1$ and $x_2$ be the solutions of

xe^x = e^2 \qquad \text{and} \qquad x\ln x = e^2

respectively. Find $x_1x_2$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Reflection, algebra, Symmetry

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