The product is 60 and the sum is -17
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Step-by-step explanation:
product=60
sum=. -17
1st digit=x
2nd digit=y
sum =x+y
-17 =x+y
x=-17-y ------i
product=xy
60. =(-17-y)(y). {put I equation}
60. = -17y-y²
y²+17y+60=0
y²+20y-3y+60=0
y(y+20)-3(y+20)=0
(y+20)(y-3)=0
y=-20(not required) and
y=3 --------ii
solve i equation
x=-17-y
x=-17-3
x=-20
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