3x-4/x-2

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Solution for 3x-4/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(4/x)-2 = 0

3*x-4*x^-1-2 = 0

3*x^1-4*x^-1-2*x^0 = 0

(3*x^2-2*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-2*x^1-4*x^0) = 0

x^1

3*x^2-2*x-4 = 0

3*x^2-2*x-4 = 0

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

DELTA = 52

DELTA > 0

x = (52^(1/2)+2)/(2*3) or x = (2-52^(1/2))/(2*3)

x = (2*13^(1/2)+2)/6 or x = (2-2*13^(1/2))/6

x in { (2-2*13^(1/2))/6, (2*13^(1/2)+2)/6} 

x in { (2-2*13^(1/2))/6, (2*13^(1/2)+2)/6 }

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