1/(Y-5)-1/(5-Y)

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Solution for 1/(Y-5)-1/(5-Y) equation: 


D( Y )

Y-5 = 0

5-Y = 0

Y-5 = 0

Y-5 = 0

Y-5 = 0 // + 5

Y = 5

5-Y = 0

5-Y = 0

5-Y = 0 // - 5

-Y = -5 // * -1

Y = 5

Y in (-oo:5) U (5:+oo)

1/(Y-5)-(1/(5-Y)) = 0

1/(Y-5)-(5-Y)^-1 = 0

1/(Y-5)-1/(5-Y) = 0

(1*(5-Y))/((Y-5)*(5-Y))+(-1*(Y-5))/((Y-5)*(5-Y)) = 0

1*(5-Y)-1*(Y-5) = 0

10-2*Y = 0

(10-2*Y)/((Y-5)*(5-Y)) = 0

(10-2*Y)/((Y-5)*(5-Y)) = 0 // * (Y-5)*(5-Y)

10-2*Y = 0

10-2*Y = 0 // - 10

-2*Y = -10 // : -2

Y = -10/(-2)

Y = 5

Y in { 5} 

Y belongs to the empty set

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