Complex Numbers And Quadratic Equations question 740

Question: The number of roots of the equation $ |x{{|}^{2}}-7|x|+12=0 $ is [MNR 1995]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: D

Solution:

The equation $ (|x|-4)(|x|-3)=0 $
Þ $ |x|=4\Rightarrow x=\pm 4 $
Þ $ |x|=3\Rightarrow x=\pm 3 $