3/(x-1)+3/(x+1)=4

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Solution for 3/(x-1)+3/(x+1)=4 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)

3/(x-1)+3/(x+1) = 4 // - 4

3/(x-1)+3/(x+1)-4 = 0

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

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

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

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

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

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

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(-2*2) or x = (-25^(1/2)-3)/(-2*2)

x = -1/2 or x = 2

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

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

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

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

( x+1/2 )

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

x = -1/2

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -1/2, 2 }

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