8x-8/x-1

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Solution for 8x-8/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

8*x-(8/x)-1 = 0

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

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

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

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

x^1

8*x^2-x-8 = 0

8*x^2-x-8 = 0

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

DELTA = 257

DELTA > 0

x = (257^(1/2)+1)/(2*8) or x = (1-257^(1/2))/(2*8)

x = (257^(1/2)+1)/16 or x = (1-257^(1/2))/16

x in { (1-257^(1/2))/16, (257^(1/2)+1)/16} 

x in { (1-257^(1/2))/16, (257^(1/2)+1)/16 }

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