If a number is subtracted from the square of its one half, the result is 48. The square root of the number is?

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Accepted Answer

Let the number be N. Then (N/2)2 - N = 48 ⇒ N2/4 - N = 48 ⇒N2 - 4N-192= 0 ⇒ (N-16) (N+12) = 0 ⇒ N = 16 ∴ The square root of the number is 4.

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