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If a is a root of the equation x^(2) - 3...

If a is a root of the equation `x^(2) - 3x + 1 =0`, then
the value of `(a^3)/(a^6 + 1)` is

A

`1/14`

B

`1/15`

C

`1/16`

D

`1/18`

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The correct Answer is:
D
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