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The square of a natural number subtracted from its cube is 48. The number is ______.

#### Options

8

6

5

4

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#### Solution

The square of a natural number subtracted from its cube is 48. The number is **4**.

**Explanation:**

x^{3} − x^{2} = 48

x^{2}(x − 1) = 48

x^{2}(x − 1) = 4^{2}(4 − 1)

x = 4

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