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

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

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

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

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

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

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

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

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

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

DELTA = 52

DELTA > 0

x = (52^(1/2)-4)/(-3*2) or x = (-52^(1/2)-4)/(-3*2)

x = (2*13^(1/2)-4)/(-6) or x = (-2*13^(1/2)-4)/(-6)

(x-((2*13^(1/2)-4)/(-6)))*(x-((-2*13^(1/2)-4)/(-6))) = 0

((x-((2*13^(1/2)-4)/(-6)))*(x-((-2*13^(1/2)-4)/(-6))))/((x-1)*(x+1)) = 0

((x-((2*13^(1/2)-4)/(-6)))*(x-((-2*13^(1/2)-4)/(-6))))/((x-1)*(x+1)) = 0 // * (x-1)*(x+1)

(x-((2*13^(1/2)-4)/(-6)))*(x-((-2*13^(1/2)-4)/(-6))) = 0

( x-((-2*13^(1/2)-4)/(-6)) )

x-((-2*13^(1/2)-4)/(-6)) = 0 // + (-2*13^(1/2)-4)/(-6)

x = (-2*13^(1/2)-4)/(-6)

( x-((2*13^(1/2)-4)/(-6)) )

x-((2*13^(1/2)-4)/(-6)) = 0 // + (2*13^(1/2)-4)/(-6)

x = (2*13^(1/2)-4)/(-6)

x in { (-2*13^(1/2)-4)/(-6), (2*13^(1/2)-4)/(-6) }

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