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

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Solution for 4/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)

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

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

4/x-2*(x-1)^-1-3 = 0

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

(-2*x)/(x*(x-1))+(4*(x-1))/(x*(x-1))+(-3*x*(x-1))/(x*(x-1)) = 0

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

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

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

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

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

DELTA = 5^2-(-4*(-3)*4)

DELTA = -23

DELTA < 0

1 = 0

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

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

1 = 0

x belongs to the empty set

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