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

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

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

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

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

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

3*x-3*x^2+3*x-1 = 0

6*x-3*x^2-1 = 0

6*x-3*x^2-1 = 0

6*x-3*x^2-1 = 0

DELTA = 6^2-(-3*(-1)*4)

DELTA = 24

DELTA > 0

x = (24^(1/2)-6)/(-3*2) or x = (-24^(1/2)-6)/(-3*2)

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

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

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

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

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

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

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

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

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

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

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

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

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