Question

If the mean of x and 1/x is m, then the mean of x² and 1/x² is​

Answer 1

Answer:

2(m^2)-1

Step-by-step explanation:

the mean of x and 1/x is ={x+(1/x) }/2

by the given problem,

{x+(1/x) }/2=m

Or, {x+(1/x) }=2m

the mean of x² and 1/x² is ={x^2+(1/x²)}/2

=[{x+(1/x) }^2-2*x*(1/x) ]/2

=[{2m }^2-2 ]/2

={4(m^2)-2}/2

=2(m^2)-1