Argand Area Alliteration

Geometry Level 5

Consider the roots of f ( x ) = x 5 + a x 3 + 1 f(x) = x^5 + ax^3 + 1 . If a a is a positive real number, what value of a a minimizes the area in the complex plane enclosed by the roots of f ( x ) f(x) ?


The answer is 3.07.

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