m-2/m^2-5m+6

Solution for m-2/m^2-5m+6 equation:

D( m )

m^2 = 0

m^2 = 0

m^2 = 0

1*m^2 = 0 // : 1

m^2 = 0

m = 0

m in (-oo:0) U (0:+oo)

m-(5*m)-(2/(m^2))+6 = 0

m-5*m-2*m^-2+6 = 0

6*m^0-4*m^1-2*m^-2 = 0

(6*m^2-4*m^3-2*m^0)/(m^2) = 0 // * m^4

m^2*(6*m^2-4*m^3-2*m^0) = 0

m^2

6*m^2-4*m^3-2 = 0

{ 1, -1, 2, -2 }

1

m = 1

6*m^2-4*m^3-2 = 0

1

m-1

2*m-4*m^2+2

6*m^2-4*m^3-2

m-1

4*m^3-4*m^2

2*m^2-2

2*m-2*m^2

2*m-2

2-2*m

0

2*m-4*m^2+2 = 0

DELTA = 2^2-(-4*2*4)

DELTA = 36

DELTA > 0

m = (36^(1/2)-2)/(-4*2) or m = (-36^(1/2)-2)/(-4*2)

m = -1/2 or m = 1

m in { -1/2, 1, 1} 

m in { -1/2, 1, 1 }