# 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 $$a-2b$$?

×