Find two integers whose sum is -23 and product is 132

Question

Find two integers whose sum is -23 and product is 132

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Tryphena 3 years 2021-09-02T01:37:08+00:00 1 Answers 0 views 0

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    2021-09-02T01:38:24+00:00

    Step-by-step explanation:

    Let x and y be two integers

    x * y = 132

    x + y = -23

    x= -23 – y

    y(-23 – y) = 132

    -23y – y^2 = 132

    y^2 +23y + 132 = 0

    (y + 11) (y + 12) = 0

    y = -11 or – 12

    If y = -11 then x + (-11) = -23 -> x = -12

    If y = -12 then x + (-12) = -23 -> x = -11

    So the two integers are -11 and -12

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