3/(x^2-1)=1

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Solution for 3/(x^2-1)=1 equation: 


D( x )

x^2-1 = 0

x^2-1 = 0

x^2-1 = 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)

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

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

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

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

4-x^2 = 0

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

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

4-x^2 = 0

-1*x^2 = -4 // : -1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in { 2, -2 }

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