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8 + 2SQRT(13) & 8 - 2SQRT(13)
Let x be one number & y the other. So you have 2 equations with 2 unknowns:
(1) x*y = 12
(2) x + y = 16
Rearranging (2) for y to get y=16-x. Now substitute this expression into equation (1):
x*(16-x) = 12
16x - x2 = 12
x2-16x+12 = 0
Now use the quadratic equation to solve for x and get the answer above.
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