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Math Help - Need Help????

  1. #1
    stephaniek
    Guest

    Need Help????

    Problems say The sums and products of pairs of integers are given. find each paor of integers.

    sum = -12, product = 36

    sum = -12, product = 35

    sum = -12, product = 32

    sum = -12, product = 11

    sum = -12, product = 0

    please help... I cant do this
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  2. #2
    Site Founder MathGuru's Avatar
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    Lightbulb 2 equations 2 unknowns

    Well the long way would be to solve algebraicaly two equations with two unknowns like this:

    x+y=-12
    x*y=36

    solve the first eq for x:

    x=-12-y

    now sub it into eq 2

    (-12-y)(y)=36
    -12y-y^2=36
    -y^2-12y-36=0
    y^2+12y+36=0
    (y+6)(y+6)=0
    y=-6

    now sub into either eq and solve for x

    The short way to do it is just by looking at it.

    1. -6,-6
    2. -7,-5
    4. -8,-4
    5. -11,-1
    6. -12,0
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