3. The sum of two integers is -11 and their product is -80. What are the two integers?
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Explanation:
let the integers be x and y
so x+y = -11
x= -11-y
also x.y =-80
(-11-y).y = -80
-11y -y2 = - 80
0= y2 + 11y -80
0= y2 -5y +16y -80
0= y(y-5) +16(y-5)
0= (y+16)(y-5)
so y = -16 or y= +5
if y= -16
x= -11-y = -11-(-16) = -11+16 = 5
if y= 5
x= -11-y = -11-5 = -16
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