4.
The equation
$$( k + 3 ) x ^ { 2 } + 6 x + k = 5 , \text { where } k \text { is a constant, }$$
has two distinct real solutions for \(x\).
- Show that \(k\) satisfies
$$k ^ { 2 } - 2 k - 24 < 0$$
- Hence find the set of possible values of \(k\).
[0pt]
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