Which equation has roots that are the reciprocals of the roots of $2x^2 - 7x + 3 = 0$?

Explanation

1. 01

   $2x^2 - 7x + 3 = (2x - 1)(x - 3)$, so its roots are $\frac{1}{2}$ and 3.

2. 02

   The reciprocals are 2 and $\frac{1}{3}$: sum $\frac{7}{3}$, product $\frac{2}{3}$.

3. 03

   Equation: $x^2 - \frac{7}{3}x + \frac{2}{3} = 0$, i.e. $3x^2 - 7x + 2 = 0$.