3x+5/x-5=8

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Solution for 3x+5/x-5=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+5/x-5 = 8 // - 8

3*x+5/x-8-5 = 0

3*x^1+5*x^-1-13*x^0 = 0

(3*x^2-13*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-13*x^1+5*x^0) = 0

x^1

3*x^2-13*x+5 = 0

3*x^2-13*x+5 = 0

DELTA = (-13)^2-(3*4*5)

DELTA = 109

DELTA > 0

x = (109^(1/2)+13)/(2*3) or x = (13-109^(1/2))/(2*3)

x = (109^(1/2)+13)/6 or x = (13-109^(1/2))/6

x in { (13-109^(1/2))/6, (109^(1/2)+13)/6} 

x in { (13-109^(1/2))/6, (109^(1/2)+13)/6 }

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