9. The equation \(x ^ { 2 } + ( 6 k + 4 ) x + 3 = 0\), where \(k\) is a constant, has no real roots.
- Show that \(k\) satisfies the inequality
$$9 k ^ { 2 } + 12 k + 1 < 0$$
- Find the range of possible values for \(k\), giving your boundaries as fully simplified surds.