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For what value (s) of a is x +(1)/(4) ...

For what value (s) of a is ` x +(1)/(4) sqrt(x) + a^(2)` a perfect square ?

A

`pm(1)/(3)`

B

`pm(1)/(4)`

C

`pm(1)/(8)`

D

`pm(1)/(2)`

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The correct Answer is:
C
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