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18 September, 05:28

The square of 9 less than a number is 3 less than the number. What is the number?

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  1. 18 September, 08:04
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    (x-9) ²=-3+x

    expand

    x²-18x+81=-3+x

    minus x both sides and add 3

    x²-19x+84=0

    factor

    what 2 numbers multiply to get 84 and add to get - 19?

    -7 and - 12

    (x-7) (x-12) = 0

    set equal to 0

    x-7=0

    x=7

    x-12=0

    x=12

    the number is 7 or 12

    both work
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