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Question

The number of real solutions of the equation |x|23|x|+2=0 is:

A
4
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B
1
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C
3
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D
2
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Solution

The correct option is A 4
Given,
|x|23|x|+2=0
or, (|x|2)(|x|1)=0
or, |x|=2 and |x|=1
or, x=±2 and x=±1.
So we have 4 real solutions.

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