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

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Solution for (x-1)/(x-3)=4 equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

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

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

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

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

11-3*x = 0

(11-3*x)/(x-3) = 0

(11-3*x)/(x-3) = 0 // * x-3

11-3*x = 0

11-3*x = 0 // - 11

-3*x = -11 // : -3

x = -11/(-3)

x = 11/3

x = 11/3

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