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

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Solution for (x^2-1)/x-1=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

x^2-1*x-1 = 0

x^2-x-1 = 0

x^2-x-1 = 0

x^2-x-1 = 0

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

DELTA = 5

DELTA > 0

x = (5^(1/2)+1)/(1*2) or x = (1-5^(1/2))/(1*2)

x = (5^(1/2)+1)/2 or x = (1-5^(1/2))/2

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

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

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

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

( x-((1-5^(1/2))/2) )

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

x = (1-5^(1/2))/2

( x-((5^(1/2)+1)/2) )

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

x = (5^(1/2)+1)/2

x in { (1-5^(1/2))/2, (5^(1/2)+1)/2 }

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