2 The equation
$$4 x ^ { 2 } + 6 x + 3 = 0$$
has roots \(\alpha\) and \(\beta\).
- Write down the values of \(\alpha + \beta\) and \(\alpha \beta\).
- Show that \(\alpha ^ { 2 } + \beta ^ { 2 } = \frac { 3 } { 4 }\).
- Find an equation, with integer coefficients, which has roots
$$3 \alpha - \beta \text { and } 3 \beta - \alpha$$