SG. 2 Given that the equation $|x|-\frac{4}{x}=\frac{3|x|}{x}$ has $k$ distinct real root(s), find the value of $k$.
When $x>0: x^{2}-4=3 x \Rightarrow x^{2}-3 x-4=0 \Rightarrow(x+1)(x-4)=0 \Rightarrow x=4$ When $x<0:-x^{2}-4=-3 x \Rightarrow x^{2}-3 x+4=0 ; D=9-16<0 \Rightarrow$ no real roots. $k=1$ (There is only one real root.)