3/m-4+4/2m-2

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Solution for 3/m-4+4/2m-2 equation: 


D( m )

m = 0

m = 0

m = 0

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

(4/2)*m+3/m-4-2 = 0

2*m^1+3*m^-1-6*m^0 = 0

(2*m^2-6*m^1+3*m^0)/(m^1) = 0 // * m^2

m^1*(2*m^2-6*m^1+3*m^0) = 0

m^1

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

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

DELTA = (-6)^2-(2*3*4)

DELTA = 12

DELTA > 0

m = (12^(1/2)+6)/(2*2) or m = (6-12^(1/2))/(2*2)

m = (2*3^(1/2)+6)/4 or m = (6-2*3^(1/2))/4

m in { (6-2*3^(1/2))/4, (2*3^(1/2)+6)/4} 

m in { (6-2*3^(1/2))/4, (2*3^(1/2)+6)/4 }

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