(x-1)/(x-4)=(x-5)/(x-9)

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Solution for (x-1)/(x-4)=(x-5)/(x-9) equation: 


D( x )

x-4 = 0

x-9 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:4) U (4:9) U (9:+oo)

(x-1)/(x-4) = (x-5)/(x-9) // - (x-5)/(x-9)

(x-1)/(x-4)-((x-5)/(x-9)) = 0

(x-1)/(x-4)+(-1*(x-5))/(x-9) = 0

((x-1)*(x-9))/((x-4)*(x-9))+(-1*(x-5)*(x-4))/((x-4)*(x-9)) = 0

(x-1)*(x-9)-1*(x-5)*(x-4) = 0

-x-11 = 0

(-x-11)/((x-4)*(x-9)) = 0

(-x-11)/((x-4)*(x-9)) = 0 // * (x-4)*(x-9)

-x-11 = 0

-x-11 = 0 // + 11

-x = 11 // * -1

x = -11

x = -11

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