Question

The mean of x and 1/x is 5 then the mean of x^2 and is _________​

Answer 1

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Answer 2

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Answer

Mean of x and 1/x is "5"

➜(x + 1 / x) / 2 = 5

➜x + 1 / x = 10

Squaring both sides

➜x^2+1/x^2+ 2x(1 / x)= 10^2

➜x^2 + 1 / x^2 + 2 = 100

➜x^2 + 1 / x^2 = 100 - 2

➜x^2 + 1 / x^2 = 98

➜( x^2 + 1 / x^2 ) / 2 = 49

[ Mean of x^2 + 1 / x^2 i$ ( x^2 + 1 / x^2) / 2 ]

[ Hence mean of x^2 + 1 / x^2 is 49]