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

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`

`(1)/( \beta ) + (1)/( \alpha ) + 2 \alpha \beta = 24.9818`