Step-by-step explanation:
[tex]2 {x}^{2} + 11x + 5 \\ {x}^{2} + 5.5x + 12.5 \\ = -2.75-2.222i \\ \: \: \: - 2.75 + 2.22i \\ \alpha = - 2.75 - 2.22i \\ \beta = - 2.75 + 2.22i[/tex]
[tex] { \alpha }^{4} + { \beta }^{4} = -284.2912344[/tex]
[tex]\frac{1}{ \beta } + \frac{1}{ \alpha } + 2 \alpha \beta = 24.9818[/tex]
