Question

The roots of $2x^2+7x+2=0$ are

• A. equal
• B. positive
• C. rational
• D. reciprocals

Answer 1

The correct option is D reciprocals

$2x^2+7x+2=0$
$a=c=2$
Let $\alpha ,\beta$ be the roots.
$\alpha \beta =\frac{c}{a}=1$
$\Rightarrow \alpha =\frac{1}{\beta }$
$\Rightarrow$ Roots are reciprocals.