Exactly One Solution

★ 8/10functions calculus Monotonicity Casework Discriminant

Problem

The equation

x\ln x - a\left(x^2 - 1\right) = 0

has exactly one real solution in $(0, +\infty)$ . Find the range of $a$ .

Answer

Solution

Difficulty	8/10
Topics	functions, calculus, Monotonicity, Casework, Discriminant

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