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30 November, 00:53

The product of two consecutive negative integers is 1122. What are the numbers? The product of two consecutive negative integers is 1122. What are the numbers? @Mathematics

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  1. 30 November, 04:17
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    Let the two numbers be - x and - x - 1, then

    -x (-x - 1) = 1,122

    x^2 + x = 1,122

    x^2 + x + 1/4 = 1,122 + 1/4

    (x + 1/2) ^2 = 4,489/4

    x + 1/2 = sqrt (4,489/4) = + or - 67/2

    x = 67/2 - 1/2 = 66/2 = 33

    Therefore, the two numbers are - 33 and - 34
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