4 The quadratic equation
$$2 x ^ { 2 } - x + 4 = 0$$
has roots \(\alpha\) and \(\beta\).
- Write down the values of \(\alpha + \beta\) and \(\alpha \beta\).
- Show that \(\frac { 1 } { \alpha } + \frac { 1 } { \beta } = \frac { 1 } { 4 }\).
- Find a quadratic equation with integer coefficients such that the roots of the equation are
$$\frac { 4 } { \alpha } \text { and } \frac { 4 } { \beta }$$
(3 marks)