Question

If m-1/m-2 = 6 then (m-2)^2 + 1/(m-2)^2 = ?

Answer 1

this is accurate answer

Answer 2

Given (m - 1)/(m - 2) = 6.

Now,

(m - 1) = 6(m - 2)

= > m - 1 = 6m - 12

= > m = 6m - 11

= > m = 11/5.


Now,

m - 2 = (11/5) - 2

         = 1/5.


1/(m - 2) = 5.


Now,

(m - 2)^2 = (1/5)^2

               = 1/25.


1/(m - 2)^2 = 25.


Therefore,

= > (m - 2)^2 + 1/(m - 2)^2

= > (1/25) + 25

= > 626/25.



Hope it helps!