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18 October, 11:38

Two consecutive negative integers have a product of 30. what are the integers?

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Answers (2)
  1. 18 October, 11:59
    0
    The two numbers are - 4 and - 5.
  2. 18 October, 12:01
    0
    We have two sets of numbers

    -6,-5 5,6

    Step-by-step explanation:

    Consecutive integers are next to each other

    x, x+1

    Product means multiply

    x (x+1) = 30

    Distribute

    x^2 + x=30

    Subtract 30 from each side

    x^2 + x-30 = 30-30

    x^2+x-30 = 0

    Factor

    What 2 numbers multiply to give us - 30 and add to 1

    6 * - 5 = - 30

    6-5 = - 1

    (x+6) (x-5) = 0

    Using the zero product property

    x+6=0 x-5=0

    x=-6 x=5

    x+1 is the next number

    -6,-5 5,6

    We have two sets of numbers

    -6,-5 5,6
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