Quadratic Equation And Inequalities

Let \(\alpha = \mathop {\max }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\}\) and \(\beta = \mathop {\min }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\}\). If \(8{x^2} + bx + c = 0\) is a quadratic equation whose roots are \(\alpha\)^1/5 and \(\beta\)^1/5, then the value of c \(-\) b is equal to :