Zeros from a Minimum Condition

★ 7/10functions calculus Monotonicity Discriminant

Problem

Suppose the function $f(x)=(x^2+a)\mathrm e^x$ has a minimum value. Find the number of zeros of $g(x)=x^2+2x+a$ .

Answer

Solution

Difficulty	7/10
Topics	functions, calculus, Monotonicity, Discriminant

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