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7 August, 06:30

If I multiply a number by 10 and subtract 9,

I get the square of the number.

What could the number be?

+2
Answers (2)
  1. 7 August, 08:36
    0
    N = the number

    10n - 9 = n2

    0 = n2 - 10n + 9

    0 = (n - 1) (n - 9)

    { 1, 9 }

    The number could be either 1 or 9.
  2. 7 August, 09:33
    0
    The two numbers which satisfy the given statement are 1 and 9

    Step-by-step explanation:

    Given as:

    A number is multiply by 10 and subtracted 9, then square of number is formed:

    So, Let The number be x

    Or, (10 * x) - 9 = x²

    Or, 10 x - 9 = x²

    Or, x² - 10 x + 9 = 0

    Or, x² - x - 9 x + 9 = 0

    Or, x (x - 1) - 9 (x - 1) = 0

    so, (x - 1) (x - 9) = 0

    ∴ x = 1 and x = 9

    Hence The two numbers which satisfy the given statement are 1 and 9 Answer
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