x+(4/x)+(4/x-2)=14

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Solution for x+(4/x)+(4/x-2)=14 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+4/x+4/x-2 = 14 // - 14

x+4/x+4/x-14-2 = 0

1*x^1+8*x^-1-16*x^0 = 0

(1*x^2-16*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-16*x^1+8*x^0) = 0

x^1

x^2-16*x+8 = 0

x^2-16*x+8 = 0

DELTA = (-16)^2-(1*4*8)

DELTA = 224

DELTA > 0

x = (224^(1/2)+16)/(1*2) or x = (16-224^(1/2))/(1*2)

x = (4*14^(1/2)+16)/2 or x = (16-4*14^(1/2))/2

x in { (16-4*14^(1/2))/2, (4*14^(1/2)+16)/2} 

x in { (16-4*14^(1/2))/2, (4*14^(1/2)+16)/2 }

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