Question

if the mean of x and 1/x is m then the mean of x^2 and 1/x^2 is

Answer 1

Answer:

2M²-1

Step-by-step explanation:

As we know the mean of x , 1/x is M so,

(x+1/x)/2 = M

Squaring on both sides so that we get x² , 1/x²

(x+1/x)²/2² = M²

(x² + 1/x² + 2×x×1/x)/4 = M²

x² + 1/x² + 2 = 4M²

x² + 1/x² = 4M² - 2

Dividing by 2 on both sides,

(x² + 1/x²)/2 = (4M² - 2)/2

=> (x² + 1/x²)/2 = 2×(2M² - 1)/2 = 2M² - 1

=> Mean of x² and 1/x² = (2M²-1)

Answer 2

Answer:

4:3 is the answer of ch613