Two integers whose sum is 17 and product is 60
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let integers be x and y
x+y=17
xy=60
from the above,
x=60÷y
therefore,
60÷y+y=17
60+y2÷y=17
60+y2=17y
y2-17y+60=0
(y-12)(y-5)=0
y=12,5
if y=5,x=60/5=12
if y=12,x=60/12=5
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