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

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Solution for x^2/(x+1)/(x-1)=-2 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)

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

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

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

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

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

3*x^2-2 = 0

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

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

3*x^2-2 = 0

3*x^2 = 2 // : 3

x^2 = 2/3

x^2 = 2/3 // ^ 1/2

abs(x) = (2/3)^(1/2)

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

x in { (2/3)^(1/2), -(2/3)^(1/2) }

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