Question

The number of roots of the equation $|x{|}^2+8|x|+15=0$ is__

Answer 1

Answer: 0

$|x{|}^2+8|x|+15=0\Rightarrow (|x|+3)(|x|+5)=0$
$\Rightarrow |x|=-3\text{ or }|x|=-5\text{, which are not possible. }$