(6/2x+12)+(6/x+6)+(6/x)=1

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Solution for (6/2x+12)+(6/x+6)+(6/x)=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

3*x^1+12*x^-1+17*x^0 = 0

(3*x^2+17*x^1+12*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+17*x^1+12*x^0) = 0

x^1

3*x^2+17*x+12 = 0

3*x^2+17*x+12 = 0

DELTA = 17^2-(3*4*12)

DELTA = 145

DELTA > 0

x = (145^(1/2)-17)/(2*3) or x = (-145^(1/2)-17)/(2*3)

x = (145^(1/2)-17)/6 or x = (-(145^(1/2)+17))/6

x in { (-(145^(1/2)+17))/6, (145^(1/2)-17)/6} 

x in { (-(145^(1/2)+17))/6, (145^(1/2)-17)/6 }

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