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