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

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

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

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

12*x-36 = 0

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

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

12*x-36 = 0

12*x-36 = 0 // + 36

12*x = 36 // : 12

x = 36/12

x = 3

x in { 3} 

x belongs to the empty set

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