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

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Solution for (x/(x-2))-(3/(x-1))=1 equation:


D( x )

x-2 = 0

x-1 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:2) U (2:+oo)

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

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

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

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

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

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

x^2-x^2-4*x+3*x-2+6 = 0

4-x = 0

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

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

4-x = 0

4-x = 0 // - 4

-x = -4 // * -1

x = 4

x = 4

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