3. It is given that \(\alpha\) and \(\beta\) are roots of the equation
$$2 x ^ { 2 } - 7 x + 4 = 0$$
- Find the exact value of \(\alpha ^ { 2 } + \beta ^ { 2 }\)
- Find a quadratic equation which has roots \(\frac { \alpha } { \beta }\) and \(\frac { \beta } { \alpha }\), giving your answer in the form \(a x ^ { 2 } + b x + c = 0\), where \(a , b\) and \(c\) are integers.