perplexus.info :: Just Math : Arithmetic and Geometric Progressions in Cubic

Arithmetic and Geometric Progressions in Cubic (Posted on 2024-08-17)

The roots of the equation

x³-3ax²+bx+18c=0

form a non-constant arithmetic progression and the roots of the equation

x³+bx²+x-c³=0

form a non-constant geometric progression.

Given that a,b,c are real numbers, find all positive integral values a and b.

No Solution Yet Submitted by Danish Ahmed Khan

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