((x^2)-8x-1)/(x-1)

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Solution for ((x^2)-8x-1)/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

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

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

x^2-8*x-1 = 0

x^2-8*x-1 = 0

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

DELTA = 68

DELTA > 0

x = (68^(1/2)+8)/(1*2) or x = (8-68^(1/2))/(1*2)

x = (2*17^(1/2)+8)/2 or x = (8-2*17^(1/2))/2

(x-((8-2*17^(1/2))/2))*(x-((2*17^(1/2)+8)/2)) = 0

((x-((8-2*17^(1/2))/2))*(x-((2*17^(1/2)+8)/2)))/(x-1) = 0

( x-((2*17^(1/2)+8)/2) )

x-((2*17^(1/2)+8)/2) = 0 // + (2*17^(1/2)+8)/2

x = (2*17^(1/2)+8)/2

( x-((8-2*17^(1/2))/2) )

x-((8-2*17^(1/2))/2) = 0 // + (8-2*17^(1/2))/2

x = (8-2*17^(1/2))/2

x in { (2*17^(1/2)+8)/2, (8-2*17^(1/2))/2 }

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