Question

$\alpha$ and $\beta$ are the roots of $4x^2+3x+7=0$, then the value of $\frac{1}{\alpha }+\frac{1}{\beta }$ is

• A. $-\frac{3}{4}$
• B. $-\frac{3}{7}$
• C. $\frac{3}{7}$
• D. $\frac{7}{4}$

Answer 1

The correct option is B $-\frac{3}{7}$

$\alpha +\beta =\frac{-3}{4},\alpha \beta =\frac{7}{4}$
$\frac{1}{\alpha }+\frac{1}{\beta }=\frac{\alpha +\beta }{\alpha \beta }$
$\Rightarrow \frac{1}{\alpha }+\frac{1}{\beta }=\frac{-3}{7}$
Hence, option 'B' is correct.