Question

if alpha and beta are the zeros of the quadratic polynomial p x is equals to 2 x 2 - 5 x + 8 evaluate 1 (i) Alpha^2 +beta^2 (II) alpha upon beta + beta upon alpha

Answer 1

alpha+beta=b/a
=-5/2
$\alpha \beta = c \div a \\ = 8 \div 2 \\ \\ \\ { \alpha }^{2} + { \beta }^{2} = { (\alpha + \beta) }^{2} - 2\alpha \beta \\ = {( - 5 \times 2)}^{2} - 2 \times 8 \div 2 \\ = 25 \div 4 - 4 \\ = 25 - 16 \div 4 \\ 9 \div 4$


$\alpha \div \beta + \beta \div \alpha \\ = \alpha \beta + \alpha \beta \div \alpha \beta \\ = 2 \alpha \beta \div \alpha \beta \\ = 2$
plz mark it brilliant

Answer 2

This expression is undefined in the set of real numbers.

Hope this helps.....