17/(x-3)+5/(3-x)

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Solution for 17/(x-3)+5/(3-x) equation: 


D( x )

3-x = 0

x-3 = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

17/(x-3)+5/(3-x) = 0

(17*(3-x))/((x-3)*(3-x))+(5*(x-3))/((x-3)*(3-x)) = 0

17*(3-x)+5*(x-3) = 0

36-12*x = 0

(36-12*x)/((x-3)*(3-x)) = 0

(36-12*x)/((x-3)*(3-x)) = 0 // * (x-3)*(3-x)

36-12*x = 0

36-12*x = 0 // - 36

-12*x = -36 // : -12

x = -36/(-12)

x = 3

x in { 3} 

x belongs to the empty set

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