3m=4/m-13/2

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Solution for 3m=4/m-13/2 equation: 


D( m )

m = 0

m = 0

m = 0

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

3*m = 4/m-(13/2) // - 4/m-(13/2)

3*m-(4/m)+13/2 = 0

3*m-4*m^-1+13/2 = 0

3*m^1-4*m^-1+13/2*m^0 = 0

(3*m^2+13/2*m^1-4*m^0)/(m^1) = 0 // * m^2

m^1*(3*m^2+13/2*m^1-4*m^0) = 0

m^1

3*m^2+(13/2)*m-4 = 0

3*m^2+(13/2)*m-4 = 0

DELTA = (13/2)^2-(-4*3*4)

DELTA = 361/4

DELTA > 0

m = ((361/4)^(1/2)-(13/2))/(2*3) or m = (-(13/2)-(361/4)^(1/2))/(2*3)

m = 1/2 or m = -8/3

m in { -8/3, 1/2} 

m in { -8/3, 1/2 }

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