Q. Find the least integral value of $k$ for which, $(k-2) x^{2}+8 x+k+4>0$ for all $x \in R$.
Complex Numbers and Quadratic Equations
Solution:
$a>0$ and $D>0$
$k-2>0$ and $64-4(k-2)(k+4)<0$
$k>2$ and $k^{2}+2 k-24>0$
$k>2$ and $(k+6)(k-4)>0$
