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

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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:

x3 − x2 = 48

x2(x − 1) = 48

x2(x − 1) = 42(4 − 1)

x = 4

Concept: Number System (Entrance Exam)
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