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

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


D( x )

x-3 = 0

x-1 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:3) U (3:+oo)

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

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

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

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

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

x-9 = 0

(x-9)/((x-1)*(x-3)) = 0

(x-9)/((x-1)*(x-3)) = 0 // * (x-1)*(x-3)

x-9 = 0

x-9 = 0 // + 9

x = 9

x = 9

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