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17 November, 22:30

The difference of a number and its square is 182. Find the number.

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Answers (2)
  1. 17 November, 22:52
    0
    Let x be the number

    ⇒ x² - x = 182

    by transposition

    x² - x - 182 = 0

    this can be written as

    x² - 14x + 13x - 182 = 0

    by factorisation

    x (x - 14) + 13 (x - 14) = 0

    (x - 14) (x + 13) = 0

    ∴ x = 14 OR x = - 13.

    Therefore the number is 14.
  2. 17 November, 22:59
    0
    The answer would be 196.

    The square root of 196 is 14 and 196-14=182.
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