A) 5
B) 2
C) 3
D) 0
Correct Answer: D
Solution :
[0] We have \[{{\left| x \right|}^{3}}-4{{\left| x \right|}^{2}}+3\left| x \right|=0\] \[\Rightarrow \,\left| x \right|({{\left| x \right|}^{2}}-4\left| x \right|+3)=0\] \[\Rightarrow \,\left| x \right|(\left| x \right|-1)(\left| x \right|-3)=0\] \[\Rightarrow \,\left| x \right|=0,1,3\] \[\Rightarrow \,x=0,1,3,-1,-3\]
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