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

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

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

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

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

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

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

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

-x^2-4*x-1 = 0

-x^2-4*x-1 = 0

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

x^2+4*x+1 = 0

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

DELTA = 12

DELTA > 0

x = (12^(1/2)-4)/(1*2) or x = (-12^(1/2)-4)/(1*2)

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

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

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

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

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

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

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

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

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

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

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

x in { (-2*3^(1/2)-4)/2, (2*3^(1/2)-4)/2 }

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