Question

If alpha and beta are zeroes of the polinomial 4xsquare+3x+7find values of 1/alpha+1.Beta

Answer 1

we know
$\alpha + \beta = - b \div a$
I.e
$ln( + \beta = - 3 \div 4)$
now
$\alpha \beta = c \div a$
I.e
$\alpha \beta = 7 \div 4$
hence
$1 \div \alpha + 1 \div \beta = (\alpha + \beta ) \div \alpha \beta$
=>
$1 \div \alpha + 1 \div \beta = ( - 3 \div 4) \div 7 \div 4$
=-3/4