6x+4/x-2=10

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Solution for 6x+4/x-2=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x+4/x-2 = 10 // - 10

6*x+4/x-10-2 = 0

6*x^1+4*x^-1-12*x^0 = 0

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

x^1*(6*x^2-12*x^1+4*x^0) = 0

x^1

6*x^2-12*x+4 = 0

6*x^2-12*x+4 = 0

DELTA = (-12)^2-(4*4*6)

DELTA = 48

DELTA > 0

x = (48^(1/2)+12)/(2*6) or x = (12-48^(1/2))/(2*6)

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

x in { (12-4*3^(1/2))/12, (4*3^(1/2)+12)/12} 

x in { (12-4*3^(1/2))/12, (4*3^(1/2)+12)/12 }

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