Math, asked by ashok20, 1 year ago

If A and G are the AM and GM respectively between the two numbers then the numbers are

Answers

Answered by VIKASHSINGH08
2
Let the numbers be a,b.
Given , A = (a+b)/2 and G = √(ab) ....(1)


(a+b)² = 4A²

(a²+b²) = 4A²–2G²

(a–b)² = 4(A²–G²)

(a–b) = 2√(A²-G²)....(2)

from , equations (1) and (2), we get

a = A+√(A²–G²)

b = A–√(A²–G²).
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