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One of two numbers 9,4is AM of two positive numbers and other is gmof these numbers. These numbers are the roots of the equation

One of two numbers 9,4is AM of two positive numbers and other is gmof these numbers.  These numbers are the roots of the equation 

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
Hiii 
A.M means arithmetic mean is given by 
(a+b)/2 = 9 
GM means geometric mean is given by 
sqrt (ab) = 4 
ab = 16 
a = 18 – b 
Put the value of a 
(18-b) b = 16 
b^2 + 16 -18b = 0 
It will be having 2 roots 9+aqrt(65)
and 9- sqrt(65)
 

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