The solution of the equation (3+2sqrt2)^...

The solution of the equation `(3+2sqrt2)^(x^2-8)+(3+2sqrt2)^(8-x^2)=6` is equal to a)`3 pm 2 sqrt2` b)`pm 1` c)`pm 7,pm sqrt3` d)`pm 3, pm sqrt7`

A

`3 pm 2 sqrt2`

B

`pm 1`

C

`pm 7,pm sqrt3`

D

`pm 3, pm sqrt7`

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The correct Answer is:

D

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