SOLUTION: Find the larger of two positive real numbers that differ by 4 and have a product of 9.

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Question 296634: Find the larger of two positive real numbers that differ by 4 and have a product of 9.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=4
xy=9
9 has factors
1,9
3,3
9,1 among positive integers
none of them differ by 4
x=5.60555, y=1.60555
x = 2+sqrt(13), y = sqrt(13)-2