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If 2x=a-(1)/(a) , where a gt0, what is t...

If `2x=a-(1)/(a)` , where `a gt0`, what is the value of `sqrt((x^(2)+1))+x` ?

A

1

B

`(1)/(a)`

C

a

D

`(1)/(2)(a+(1)/(a))`

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The correct Answer is:
C
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