Question

The ratio of the A.M. and G.M. of two positive numbers a and b, is m : n. Show that

a : b = (m +(m2 – n2)

1/2) : (m -(m2 – n2)

1/2).​

Answer 1

Answer:

Good morning have a wonderful day today

Answer 2

Answer:

ANSWER

Positive number a,b

A.M=2a+b GM=ab

m:n=2aba+b

R.H.S=(m−m2−n2)(m+m2−n2)

Divide by n in both numerator and denominator.

=(nm−n2m2−1)(nm+n2m2−1)

=(2aba+b−4aba2+b2+2ab