The ratio of the AM and …

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Posted by Ramphal Singh Choudhary 4 years, 11 months ago
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Gaurav Seth 4 years, 11 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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