6x-5/x-8

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Solution for 6x-5/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(5/x)-8 = 0

6*x-5*x^-1-8 = 0

6*x^1-5*x^-1-8*x^0 = 0

(6*x^2-8*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-8*x^1-5*x^0) = 0

x^1

6*x^2-8*x-5 = 0

6*x^2-8*x-5 = 0

DELTA = (-8)^2-(-5*4*6)

DELTA = 184

DELTA > 0

x = (184^(1/2)+8)/(2*6) or x = (8-184^(1/2))/(2*6)

x = (2*46^(1/2)+8)/12 or x = (8-2*46^(1/2))/12

x in { (8-2*46^(1/2))/12, (2*46^(1/2)+8)/12} 

x in { (8-2*46^(1/2))/12, (2*46^(1/2)+8)/12 }

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