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

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Solution for 4/(x-1)=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)

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

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

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

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

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

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

3*x+5 = 0

(3*x+5)/((x-1)*(x+1)) = 0

(3*x+5)/((x-1)*(x+1)) = 0 // * (x-1)*(x+1)

3*x+5 = 0

3*x+5 = 0 // - 5

3*x = -5 // : 3

x = -5/3

x = -5/3

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