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

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


D( x )

(x^2-1)^2 = 0

(x^2-1)^2 = 0

(x^2-1)^2 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

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

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

x^2-2*x-1 = 0

x^2-2*x-1 = 0

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

DELTA = 8

DELTA > 0

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

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

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

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

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

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

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

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

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

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

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

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