4 The quadratic equation \(x ^ { 2 } - 2 x + 4 = 0\) has roots \(\alpha\) and \(\beta\).
- Write down the values of \(\alpha + \beta\) and \(\alpha \beta\).
- Hence find the value of \(\alpha ^ { 2 } + \beta ^ { 2 }\).
- Find a quadratic equation which has roots \(2 \alpha\) and \(2 \beta\).