Question

Find the least integral value of $k$ for which, $(k-2)x^2+8x+k+4>0$ for all $x\in R$.

Answer 1

Answer: 5.00

$a>0$ and $D>0$
$k-2>0$ and $64-4(k-2)(k+4)<0$
$k>2$ and $k^2+2k-24>0$
$k>2$ and $(k+6)(k-4)>0$