6x-47=8/x

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Solution for 6x-47=8/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-47 = 8/x // - 8/x

6*x-(8/x)-47 = 0

6*x-8*x^-1-47 = 0

6*x^1-8*x^-1-47*x^0 = 0

(6*x^2-47*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-47*x^1-8*x^0) = 0

x^1

6*x^2-47*x-8 = 0

6*x^2-47*x-8 = 0

DELTA = (-47)^2-(-8*4*6)

DELTA = 2401

DELTA > 0

x = (2401^(1/2)+47)/(2*6) or x = (47-2401^(1/2))/(2*6)

x = 8 or x = -1/6

x in { -1/6, 8} 

x in { -1/6, 8 }

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