perplexus.info :: Just Math : Cubic roots manipulation

Cubic roots manipulation (Posted on 2023-08-12)

Let the three roots of x³+ax+1=0 be α, β, γ where a is a positive real number.

Let the three roots of x³+bx²+cx-1=0 be α/β, β/γ, γ/α.

Find the minimum value of (|b|+|c|)/a.

No Solution Yet Submitted by Danish Ahmed Khan

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