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18 July, 01:41

The sum of two integers is 81. if the product is 1088. what are the integers

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  1. 18 July, 01:56
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    (a; b) = { (17; 64); (64; 17) }

    Step-by-step explanation:

    a+b=81 = > b=81-a

    a*b=1088

    a * (81-a) = 1088

    -a²+81a=1088

    a²-81a+1088=0

    a²-64a-17a+1088=0

    a (a-64) - 17 (a-64) = 0

    (a-17) (a-64) = 0

    => a=17 and a=64

    for a=17 = > b=81-17=64

    for a=64 = > b=81-64=17

    (a; b) = { (17; 64); (64; 17) }
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