Roots Relation

Algebra Level 5

\[ \large 24x^4 - 15x^3 + 1 \]

Let \(a,b,c,d\) be the roots of the polynomial above. If \((abc)^3+(abd)^3+(acd)^3+(bcd)^3 = \frac pq\) for coprime positive integers \(p,q\), find the value of \(p+q\).

Image Credit: Wikimedia William Anthony Granville.
×

Problem Loading...

Note Loading...

Set Loading...