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

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


D( x )

x+1 = 0

x-1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

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

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

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

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

2*x-x^2-2*x^2+1+2 = 0

2*x-3*x^2+3 = 0

2*x-3*x^2+3 = 0

2*x-3*x^2+3 = 0

DELTA = 2^2-(-3*3*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)-2)/(-3*2) or x = (-40^(1/2)-2)/(-3*2)

x = (2*10^(1/2)-2)/(-6) or x = (-2*10^(1/2)-2)/(-6)

(x-((2*10^(1/2)-2)/(-6)))*(x-((-2*10^(1/2)-2)/(-6))) = 0

((x-((2*10^(1/2)-2)/(-6)))*(x-((-2*10^(1/2)-2)/(-6))))/((x-1)*(x+1)) = 0

((x-((2*10^(1/2)-2)/(-6)))*(x-((-2*10^(1/2)-2)/(-6))))/((x-1)*(x+1)) = 0 // * (x-1)*(x+1)

(x-((2*10^(1/2)-2)/(-6)))*(x-((-2*10^(1/2)-2)/(-6))) = 0

( x-((-2*10^(1/2)-2)/(-6)) )

x-((-2*10^(1/2)-2)/(-6)) = 0 // + (-2*10^(1/2)-2)/(-6)

x = (-2*10^(1/2)-2)/(-6)

( x-((2*10^(1/2)-2)/(-6)) )

x-((2*10^(1/2)-2)/(-6)) = 0 // + (2*10^(1/2)-2)/(-6)

x = (2*10^(1/2)-2)/(-6)

x in { (-2*10^(1/2)-2)/(-6), (2*10^(1/2)-2)/(-6) }

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