perplexus.info :: Just Math : Geometric Progression Roots

Geometric Progression Roots (Posted on 2024-08-01)

Determine all real values of the parameter a for which the equation

16x⁴ - ax³ + (2a + 17)x² - ax + 16 = 0

has exactly four distinct real roots that form a geometric progression.

No Solution Yet Submitted by Danish Ahmed Khan

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re: No solution

| Comment 3 of 4 |

(In reply to No solution by Jer)

What a dumb mistake. Even the title says Geometric yet I looked for an Arithmetic sequence of roots.

You can safely ignore my post.

Had I tried to correctly solve this problem, I would like to think my solution would be as good as Brian Smith's.

Posted by Jer on 2024-08-02 09:45:08

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