1.23: Past-paper question 2

The quadratic equation $\displaystyle 3x^2 - 5x + 1 = 0$ has roots $\displaystyle \alpha$ and $\displaystyle \beta$

Without solving the equation,

form a quadratic equation with integer coefficients, that has roots $\displaystyle \frac{\alpha}{2\beta}$ and $\displaystyle \frac{\beta}{2\alpha}$