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Sum of solution of the equation |x|^3-4|...

Sum of solution of the equation `|x|^3-4|x|^2+3|x|=0` is

A

4

B

3

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
We have `|x|^3-4|x|^2+3|x|=0 `
`rArr |x|(|x|^2-4|x|+3)=0`
`rArr (|x|-1)(|x|-3)=0`
`rArr |x|=0,1,3 `
`rArr x=0,1,2,3,-1,-3`
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