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Question

If |x2|+|x6|=3 then the value of x is


A

x6

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B

x2

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C

2<x<6

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D

No value for x

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Solution

The correct option is D

No value for x


Given, |x2|+|x6|=3

For x2

Changing the sign throughout , we have

(x2)(x6)=3

x+2x+6=3

2x+8=3

2x=38

2x=5

x=52

This is not possible since x2

For x6

x2+x6=3

2x8=3

2x=3+8

x=112

This is not possible since x6

Therefore no values for x which satisfy the given equation.


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