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D( x )
x^2-1 = 0
x^2-1 = 0
x^2-1 = 0
1*x^2 = 1 // : 1
x^2 = 1
x^2 = 1 // ^ 1/2
abs(x) = 1
x = 1 or x = -1
x in (-oo:-1) U (-1:1) U (1:+oo)
(4*x^2-(19*x)-5)/(x^2-1) = 0
(4*x^2-19*x-5)/(x^2-1) = 0
4*x^2-19*x-5 = 0
4*x^2-19*x-5 = 0
DELTA = (-19)^2-(-5*4*4)
DELTA = 441
DELTA > 0
x = (441^(1/2)+19)/(2*4) or x = (19-441^(1/2))/(2*4)
x = 5 or x = -1/4
(x+1/4)*(x-5) = 0
((x+1/4)*(x-5))/(x^2-1) = 0
( x+1/4 )
x+1/4 = 0 // - 1/4
x = -1/4
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -1/4, 5 }
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