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6 August, 12:53

Two consecutive integers have a product of 132. Find the integers

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  1. 6 August, 13:19
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    The difference between consecutive integers is 1.

    Let x = smaller integer.

    Then x + 1 is the next greater consecutive integer.

    x (x + 1) = 132

    x^2 + x - 132 = 0

    (x + 12) (x - 11) = 0

    x + 12 = 0 or x + 11 = 0

    x = - 12 or x = - 11

    Since x is the smaller of the two integers, the answers are:

    -12, - 11

    11, 12

    There are two pairs of such integers.
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