Such power? Much scare! Many wow!
Algebra
Level
5
The roots of the cubic equation
\(x^3 - 4x^2 + 6x - 5 = 0 \)
are \(p,q,r\). If
\( \large \frac {p^3}{q^4+r^4} + \frac {q^3}{p^4+r^4} + \frac {r^3}{p^4+q^4} = - \frac {a}{b} \)
for coprime positive integers \(a,b\). What is the value of \(a-2b\)?
by
Pi Han Goh