Question

if alpha and beta are zeros of quadratic polynomial x square - 5 x + 9 find 1 upon alpha + 1 upon beta -2 alpha beta

Answer 1

hope this helps you ☺☺

Answer 2

${x}^{2} - 5x + 9 \\ a{x}^{2} + bx + c$
sum of the roots
$\alpha + \beta = - \frac{b}{a} = - ( - 5)$
product. of roots
$\alpha \beta = \frac{c}{d} = 9$
$\frac{1}{ \alpha } + \frac{1}{ \beta } - 2 \alpha \beta$
can be written as given below
$\frac{ \alpha + \beta }{ \alpha \beta } - 2 \alpha \beta$
put the values in the above equation and solve