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N Characters of information are held on magnetic tape, in batches of x characters each, the batch processing time is `alpha + beta x^2 `seconds, `alpha and beta` are constants. The optical value of x for fast processing is

A

frac{alpha}{beta}

B

frac{beta}{alpha}

C

sqrt(frac{alpha}{beta})

D

sqrt[frac{beta}{alpha}]

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