G.P 3

If A and G be A.M & G.m respectively between two positive numbers,prove that the numbers
A±√(A+G)(A-G)

3 Answers

1357
Manish Shankar ·

let the numbers be a and b

(a+b)/2=A
√(ab)=G or ab=G2 or b=G2/a

a+b=2A
a+(G2/a)=2A

a2-2Aa+G2=0

a=A±√(A+G)(A-G)

6
nix_13 12 ·

thank u bhaiyya

1
bhomit kapoor ·

thanks for helping meeeeeeeeeeeeeeeee12

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