4.
The quadratic equation \(k x ^ { 2 } + 2 k x + 2 k = 3 x - 1\), where \(k\) is a constant, has no real roots.
- Show that \(k\) satisfies the inequality
$$4 k ^ { 2 } + 16 k - 9 > 0 .$$
- Hence find the set of possible values of \(k\). Give your answer in set notation.