3x-12/x-4

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Solution for 3x-12/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(12/x)-4 = 0

3*x-12*x^-1-4 = 0

3*x^1-12*x^-1-4*x^0 = 0

(3*x^2-4*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-4*x^1-12*x^0) = 0

x^1

3*x^2-4*x-12 = 0

3*x^2-4*x-12 = 0

DELTA = (-4)^2-(-12*3*4)

DELTA = 160

DELTA > 0

x = (160^(1/2)+4)/(2*3) or x = (4-160^(1/2))/(2*3)

x = (4*10^(1/2)+4)/6 or x = (4-4*10^(1/2))/6

x in { (4-4*10^(1/2))/6, (4*10^(1/2)+4)/6} 

x in { (4-4*10^(1/2))/6, (4*10^(1/2)+4)/6 }

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