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Arithmetic and Geometric Progressions in Cubic (Posted on 2024-08-17) Difficulty: 3 of 5
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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