Three Zeros of a Mixed Function

★ 8/10ExtremacalculusMonotonicity

Problem

The function

f(x)=2ex−ax2+(a−2e)xf(x) = 2e^x - ax^2 + (a - 2e)x

has three distinct zeros. Find the range of possible values of the real number aa.

Answer

Solution

Difficulty8/10
TopicsExtrema, calculus, Monotonicity

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