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

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


D( x )

x = 0

x-1 = 0

x = 0

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

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

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

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

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

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

-2*x-1 = 0

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

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

-2*x-1 = 0

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

-2*x = 1 // : -2

x = 1/(-2)

x = -1/2

x = -1/2

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