Question

Heya

for mathematics,

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Answer 1

Answer:

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 you

please mark it as brainliest if it helps you

with regars @Arsh

Answer 2

Answer:

m - 1/(m-2) = 6

subtracting 2 both sides we get ,

(m-2) - 1/(m-2) = 4

let (m-2) = x,

x - 1/x = 4

x² + 1/x² = (4)² + 2 = 18

so,

(m-2)² + 1/(m-2)² = 18 (Ans)