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The ratio of the AM and …

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The ratio of the AM and GM of two positive numbers a and b is m:n,find the ratio of the numbers
  • 1 answers

Gaurav Seth 4 years, 3 months ago

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)):(m-√(m2-n2))

Answer

Using this in the identity (a – b)2 = (a + b)2 – 4ab, we obtain

Adding (1) and (2), we obtain

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