Question

If the mean of x and 1/x is M then mean of x³ and 1/x³ is


explain step by step ​

Answer 1

Answer:

Given mean x and

x1 is M∴M= 2x+x1

⇒x+ x1

=2M

Cube both the sides

∴(x+ x1 )3

=(2M) 3

⇒x 3 + x 31

+3(x+ x1 )=8M 3

⇒x 3 + x 31

=8M 3 −3(x+ x1 )

⇒x 3 + x 31

=8M 3 −3(2M)

⇒x 3 + x 3 1

=2M(4M 2 −3)

Then mean of x 3 and x 3 1

So 2x 3 + x 3 1

=2M(4M 2 −3)

⇒x 3 + x 3 1

=M(4M 2 −3)

Mark me brainlist please