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Two real numbers have a geometric mean of sqrt(3) and a harmonic mean of 1.5.  What are the two numbers?

 Aug 2, 2020
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sqrt (xy) = sqrt3      and       2 / (1/x + 1/y) = 1.5

xy = 3                                            2/   (y+x)/xy

                                             2 xy / (y+x) = 1.5

                                                6 / (y+x) = 1.5                             

 xy = 3                                            y+ x = 4

 

Numbers are   3  and 1 

 Aug 2, 2020

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