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

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


D( x )

x^2-1 = 0

x+1 = 0

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

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

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

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

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

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

3*x-3*x^3-x^2-3*x^2+1+3 = 0

3*x-3*x^3-4*x^2+4 = 0

3*x-3*x^3-4*x^2+4 = 0

3*x-3*x^3-4*x^2+4

3*x*(1-x^2)-4*x^2+4

4*(1-x^2)+3*x*(1-x^2)

(3*x+4)*(1-x^2)

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

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

(3*x+4)*(1-x^2) = 0

( 1-x^2 )

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

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

( 3*x+4 )

3*x+4 = 0 // - 4

3*x = -4 // : 3

x = -4/3

x in { 1}

x in { -1}

x = -4/3

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