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6 October, 03:25

What times what is equaled to - 180 but is also added to - 31

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  1. 6 October, 05:43
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    So x times y=-180 or xy=-180 and x+y=-31

    so

    x+y=-31

    subtract x or y from both sides it doesn't matter

    so if subtract x

    y=-x-31

    subsitute this for y in xy=-180

    (-x-31) x=-180

    distribute

    -x^2-31x=-180

    add x^2 and 31x to both sides

    x^2+31x-180=0

    factor

    (x-5) (x+36) = 0

    so if ab=0 then a and/or b=0 so

    x-5=0

    x=5

    x+36=0

    x=-36

    the numbers are 5 and - 36
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