Three Zeros with a Parameter

★ 8/10functions Quadratic Equations Substitution Absolute Value

Problem

The function

f(x) = e^x\left(2 - e^x\right) + (a+2)\left|e^x - 1\right| - a^2

has exactly $3$ zeros. Find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	8/10
Topics	functions, Quadratic Equations, Substitution, Absolute Value

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