2x+2/x-2=8

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Solution for 2x+2/x-2=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+2/x-2 = 8 // - 8

2*x+2/x-8-2 = 0

2*x^1+2*x^-1-10*x^0 = 0

(2*x^2-10*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-10*x^1+2*x^0) = 0

x^1

2*x^2-10*x+2 = 0

2*x^2-10*x+2 = 0

DELTA = (-10)^2-(2*2*4)

DELTA = 84

DELTA > 0

x = (84^(1/2)+10)/(2*2) or x = (10-84^(1/2))/(2*2)

x = (2*21^(1/2)+10)/4 or x = (10-2*21^(1/2))/4

x in { (10-2*21^(1/2))/4, (2*21^(1/2)+10)/4} 

x in { (10-2*21^(1/2))/4, (2*21^(1/2)+10)/4 }

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