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The complete set of values of x satisfyi...

The complete set of values of x satisfying the equation `x^2. 2^(x+1)+2^(|x-3|+2)=x^2. 2^(|x-3|+4)+2^(x-1)` is

A

`[3,oo)`

B

`[-(1)/(2),(1)/(2)]uu(3,oo)`

C

`(-oo-(1)/(2))`

D

`{-(1)/(2),(1)/(2)}uu[3,oo)`

Text Solution

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The correct Answer is:
D
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