Question

If $\alpha$ and $\beta$ are the roots of the equation $2x^2-7x+12=0$, then $\frac{1}{\alpha }+\frac{1}{\beta }=$___

Answer 1

Answer: 0.583

Given: $\alpha$ and $\beta$ are the roots of the equation.
$2x^2-7x+12=0$
$\Rightarrow \alpha +\beta =\frac{-b}{a}=\frac{7}{2}$
$\alpha \beta =\frac{c}{a}=\frac{12}{2}=6$
$\frac{1}{\alpha }+\frac{1}{\beta }=\frac{\alpha +\beta }{\alpha \beta }=\frac{\left(\frac{7}{2}\right)}{6}=\frac{7}{12}=0.583$