Question

if x, y, z are positive real numbers and p, q, r are natural numbers such that x^p=y^q=z^r and y/x=z/y then prove then prove that 2/q=1/q+1/r​

Answer 1

Step-by-step explanation:

Since AM≥HM

3

x+y+z

≥

x

1

+

y

1

+

z

1

3

⇒

3

a

≥

x

1

+

y

1

+

z

1

3

or

x

1

+

y

1

+

z

1

≥

a

9