(5x-1)/(1-25x^2)

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Solution for (5x-1)/(1-25x^2) equation: 


D( x )

1-(25*x^2) = 0

1-(25*x^2) = 0

1-(25*x^2) = 0

1-25*x^2 = 0

-25*x^2 = -1 // : -25

x^2 = 1/25

x^2 = 1/25 // ^ 1/2

abs(x) = 1/5

x = 1/5 or x = -1/5

x in (-oo:-1/5) U (-1/5:1/5) U (1/5:+oo)

(5*x-1)/(1-(25*x^2)) = 0

(5*x-1)/(1-25*x^2) = 0

5*x-1 = 0 // + 1

5*x = 1 // : 5

x = 1/5

x in { 1/5} 

x belongs to the empty set

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