Given that [tex]\alpha , \beta[/tex], roots of [tex]4x^{2} - x + 1 = 0[/tex], without finding the value of [tex]\alpha , \beta[/tex] ; evaluate
a. [tex]\beta x^{2} +\alpha x^{2} -\alpha \beta[/tex]
b. [tex]\frac{\alpha }{\beta } + \frac{\beta }{\alpha }[/tex]