Question

m²+1/m²+2-2m-2/m
plz tell me​

Answer 1

(m^2+1/m^2)+2-2(m+1/m)=0

1. put x=(m+1/m)
2. squaring on both sides
3. x^2 =(m+1/m)^2
4. x^2 =m^2+1/m^2+2m.1/m
5. x^2 =m^2+1/m^2+2
6. x^2 -2 =m^2+1/m^2
7. (7) sub in given eqn,
8. (x^2 -2)+2-2x=0
9. x^2-2x=0
10. x(x-2)=0
11. x=0,x=2

x=0,

by (1),

m+1/m=0

m^2+1=0

m^2=-1

m= i

x=2

by (1)

m+1/m=2

m^2+1=2m

m^2-2m+1=0

(m-1)(m-1)=0

m=1,1