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29 June, 23:33

The sum of two integers is 8 and their product is - 20.

What are the integers?

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  1. 29 June, 23:39
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    The answer to your question is

    x = - 2 and y = 10 or x = 10 and y = - 2

    Step-by-step explanation:

    x + y = 8 (1) from (1) x = 8 - y

    xy = - 20 (2)

    Solve them by substitution

    (8 - y) y = - 20

    8y - y² = - 20

    y² - 8y - 20 = 0

    (y - 10) (y + 2) = 0

    y - 10 = 0 and y + 2 = 0

    y1 = 10 y2 = - 2

    x1 = 8 - 10 x2 = 8 - - 2

    x1 = - 2 x2 = 10
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