A Disguised Parabola

★ 6/10functions Extrema Substitution Monotonicity algebra analytic geometry

Problem

Consider the curve

C \colon \left(x^2 - y\right)\cdot 3^{x^2 - y} = 81.

Find the minimum distance from a point of $C$ to the origin.

Answer

Solution

Difficulty	6/10
Topics	functions, Extrema, Substitution, Monotonicity, algebra, analytic geometry

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