Question

if alpha and beta are the zeros of the quadratic polynomial f(x)=2x^2+11x+25. Find alpha^4+beta^4 and 1/alpha+1/beta-2alpha*beta​

Answer 1

Step-by-step explanation:

$2 {x}^{2} + 11x + 5 \\ {x}^{2} + 5.5x + 12.5 \\ = -2.75-2.222i \\ \: \: \: - 2.75 + 2.22i \\ \alpha = - 2.75 - 2.22i \\ \beta = - 2.75 + 2.22i$

${ \alpha }^{4} + { \beta }^{4} = -284.2912344$

$\frac{1}{ \beta } + \frac{1}{ \alpha } + 2 \alpha \beta = 24.9818$