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17 April, 22:47

Find two consecutive negative integers whose product is 90

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  1. 17 April, 23:24
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    -10, - 9

    Step-by-step explanation:

    Let x = first negative answer

    then

    x+1 = second negative answer

    x (x+1) = 90

    x^2 + x = 90

    x^2 + x - 90 = 0

    (x+10) (x-9) = 0

    x = (-10, 9)

    Since we're looking for a negative answer, throw out the positive answer leaving:

    x = - 10 (first negative number)

    .

    Second negative number"

    x+1 = - 10+1 = - 9
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