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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(x^2-5)/x-1 = (5*x-1)/x // - (5*x-1)/x
(x^2-5)/x-((5*x-1)/x)-1 = 0
(x^2-5)/x+(-1*(5*x-1))/x-1 = 0
(x^2-5)/x+(-1*(5*x-1))/x+(-1*x)/x = 0
x^2-1*(5*x-1)-1*x-5 = 0
x^2-5*x-x-4 = 0
x^2-6*x-4 = 0
x^2-6*x-4 = 0
x^2-6*x-4 = 0
DELTA = (-6)^2-(-4*1*4)
DELTA = 52
DELTA > 0
x = (52^(1/2)+6)/(1*2) or x = (6-52^(1/2))/(1*2)
x = (2*13^(1/2)+6)/2 or x = (6-2*13^(1/2))/2
(x-((6-2*13^(1/2))/2))*(x-((2*13^(1/2)+6)/2)) = 0
((x-((6-2*13^(1/2))/2))*(x-((2*13^(1/2)+6)/2)))/x = 0
((x-((6-2*13^(1/2))/2))*(x-((2*13^(1/2)+6)/2)))/x = 0 // * x
(x-((6-2*13^(1/2))/2))*(x-((2*13^(1/2)+6)/2)) = 0
( x-((2*13^(1/2)+6)/2) )
x-((2*13^(1/2)+6)/2) = 0 // + (2*13^(1/2)+6)/2
x = (2*13^(1/2)+6)/2
( x-((6-2*13^(1/2))/2) )
x-((6-2*13^(1/2))/2) = 0 // + (6-2*13^(1/2))/2
x = (6-2*13^(1/2))/2
x in { (2*13^(1/2)+6)/2, (6-2*13^(1/2))/2 }
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