If $x + \sqrt {({x^2} + 1)} = a,$ then $x =$

  • A

    ${1 \over 2}(a + 1/a)$

  • B

    ${1 \over 2}(a - 1/a)$

  • C

    $(a + {a^{ - 1}})$

  • D

    None of these

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