Determine the real parameter "m" and solve the equation: x4+15x3+70x2-120x+m=0 knowing that the roots form a geometric progression. Please show me the complete solution with details. Thank you in advance.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 19CC
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Determine the real parameter "m" and solve the equation: x4+15x3+70x2-120x+m=0

knowing that the roots form a geometric progression.

Please show me the complete solution with details.

Thank you in advance.

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