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The arithmetic mean of two numbers is 9 and their geometric mean is 3√5. Find these numbers

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asked by Dany
  1. (a+b)/2 = 9
    so
    a+b = 18

    sqrt ( a b) = 3 sqrt 5
    so
    a b = 9*5 = 45

    well so b = 45/a
    and
    a + 45/a = 18
    or
    a^2 - 18 a + 45 = 0
    ( a-15)(a-3) = 0
    a = 15 or 3
    so one of them is 3 and one of them is 15

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    posted by Damon

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