12-12-2014
Mathematics

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what multiples to -60 and adds to -28

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12-12-2014

so xy=-60 and x+y=-28

x+y=-28 also means x=-28-y

subsitute x=-28-y for x in xy=-60

(-28-y)y=-60
-28y-y^2=-60
add negative y^2 to both sides
-28y=-60+y^2
add 28y to both sides
0=y^2+28y-60
factor
0=(x-2)(x+30)

we set them to zero
x-2=0
x=2

x+30=0
x=-30

the numbers could be -30 and 2

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