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

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


D( x )

x^2-1 = 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 in (-oo:-1) U (-1:1) U (1:+oo)

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

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

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

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

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

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

DELTA = 3^2-(1*2*4)

DELTA = 1

DELTA > 0

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

x = -1/2 or x = -1

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

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

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

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

( x+1/2 )

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

x = -1/2

( x+1 )

x+1 = 0 // - 1

x = -1

x in { -1} 

x = -1/2

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