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Best Answer
a+b = ab = 9
so a(9-a) = 9 = -(a-9/2)^2 +81/4
so a-9/2 = sqrt(45/4) = +- 3/2 sqrt(5)
Therefore the two numbers are (9 + 3 sqrt(5))/2 and (9 - 3 sqrt(5))/2
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