Question

If m+ 1/m-2=4, then ( m-2)^2+1/(m-2)^2

Answer 1

Answer:

2

Step-by-step explanation:

m + 1 = (m - 2) + 3

$\frac{(m - 2) + 3}{m - 2}$ = 4

4 = $\frac{m - 2}{m - 2}$ +  $\frac{3}{m - 2}$

4 = 1 +  $\frac{3}{m - 2}$

4 - 1 = $\frac{3}{m - 2}$

3 = $\frac{3}{m - 2}$

1 = $\frac{1}{m - 2}$

m - 2 = 1

$(m - 2)^{2}  + \frac{1}{(m-2)^{2} }$ = $1^{2}$ + $\frac{1}{(1)^{2} }$

= 1 + 1 = 2

Answer 2

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