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As Ironnica knows, I love questions like this!
So, I would set up two equations:
xy=864
x+y=48
By using subtraction on the second equation, y=48-x
Substituting this in the first equation, x(48-x)=864
Simplifying that gives -x2+48x=864
I'm going to subtract 864 from both sides to get -x2+48x-864
You might notice that there is now a quadratic, meaning we can use the quadratic formula! (Look it up if you don't know, it is very helpful in solving these kinds of problems)
The answer is x = 24±12i√2
If x = 24-12i√2, then y would equal 24+12i√2
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