the arithmetic mean of two numbers is 15, and their geometric mean is 9.

find the numbers

1 answer

(n + m)/2 = 15
so
n + m = 30
m = (30-n)

(n m )^.5= 9
n m = 81
n(30-n) = 81
-n^2 + 30 n = 81
n^2 -30 + 81 = 0
(n-3)(n-27) = 0
3 and 27