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Sagot :
I used guess and check for this one, it would be 8 and 12, they both have a difference of 4 and a product of 96.
[tex]x-y=4\\
xy=96\\\\
x=4+y\\
xy=96\\\\
(4+y)y=96\\
4y+y^2=96\\
y^2+4y-96=0\\
y^2+4y+4-100=0\\
(y+2)^2=100\\
y+2=10 \vee y+2=-10\\
y=8 \vee y=-12\\
x=4+8\\
x=12\\\\
8 \hbox{ and } 12[/tex]
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