Question 10
The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that ( ) ( ) 2 2 2 2:a b m m - n : m - m - n= + .
SOLUTION
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The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that ( ) ( ) 2 2 2 2:a b m m - n : m - m - n= + .