A Minimum of a Radical Plus Quadratic

★ 8/10functions Extrema Reflection analytic geometry

Problem

Let $f(x)=\sqrt{2x^4-18x^2+12x+68}+x^2-x+1$ . Determine, with proof, the minimum value of $f(x)$ and the number of points at which it is attained.

Answer

Solution

Difficulty	8/10
Topics	functions, Extrema, Reflection, analytic geometry

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