10 The equation
\(4 x ^ { 4 } + 16 x ^ { 3 } + a x ^ { 2 } + b x + 6 = 0\),
where \(a\) and \(b\) are real, has roots \(\alpha , \frac { 2 } { \alpha } , \beta\) and \(3 \beta\).
- Given that \(\beta < 0\), determine all 4 roots.
- Determine the values of \(a\) and \(b\).