2m-3/m=1

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Solution for 2m-3/m=1 equation: 


D( m )

m = 0

m = 0

m = 0

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

2*m-(3/m) = 1 // - 1

2*m-(3/m)-1 = 0

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

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

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

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

m^1

2*m^2-m-3 = 0

2*m^2-m-3 = 0

DELTA = (-1)^2-(-3*2*4)

DELTA = 25

DELTA > 0

m = (25^(1/2)+1)/(2*2) or m = (1-25^(1/2))/(2*2)

m = 3/2 or m = -1

m in { -1, 3/2} 

m in { -1, 3/2 }

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