Question

Solve the equation: 

 

equation

 

given that its roots are in G.P.

04 Sep 2025
Answer :
Word Count : 336
Let the roots of the equation be in G.P. Denote the roots by $a, ar, ar^2, ar^3$. The given equation is: $$ x^4 + 15x^3 + 70x^2 + 120x + 64 = 0 $$ By Vieta's formulas, for a quartic equation $x^4 + bx^3 + cx^2 + dx + e = 0$ with roots $p, q, ________ ____ _________ ________ ___ ____ ___ ________ ___.
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