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Sum of the valus of x satisfying the equ...

Sum of the valus of x satisfying the equation `sqrt(2x+sqrt(2x+4))=4` is ______.

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The correct Answer is:
6
`sqrt(2x+sqrt(2x+4))=4`
`impliessqrt(2x+4)=16-2x`
`implies2x+4=4(8-x)^(2)`
`implies2x^(2)-33x+126=0`
`implies(2r-21)(x-6)=0`
`impliesx=6,21//2`
But `x=21//2` does not satisfy the given equation.
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