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21 January, 06:33

George starts with a number. He takes away 7, then squares it, adds 6, subtracts 13, multiplies it by 4 and subtracts 1.

He ends up with 7.

What was George's original number?

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Answers (1)
  1. 21 January, 08:18
    0
    10 or 4.

    Step-by-step explanation:

    [ (x - 7) ^2 + 6 - 13 ] * 4 - 1 = 7

    (x^2 - 14x + 49 - 7) * 4 - 1 = 7

    4x^2 - 56x + 196 - 28 - 1 - 7 = 0

    4x^2 - 56x + 160 = 0

    4 (x^2 - 14x + 40) = 0

    (x - 10) (x - 4) = 0

    x = 10, 4
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