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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(x^2+10*x+20)/x+5 = 0
(x^2+10*x+20)/x+(5*x)/x = 0
x^2+10*x+5*x+20 = 0
x^2+15*x+20 = 0
x^2+15*x+20 = 0
x^2+15*x+20 = 0
DELTA = 15^2-(1*4*20)
DELTA = 145
DELTA > 0
x = (145^(1/2)-15)/(1*2) or x = (-145^(1/2)-15)/(1*2)
x = (145^(1/2)-15)/2 or x = (-(145^(1/2)+15))/2
(x+(145^(1/2)+15)/2)*(x-((145^(1/2)-15)/2)) = 0
((x+(145^(1/2)+15)/2)*(x-((145^(1/2)-15)/2)))/x = 0
((x+(145^(1/2)+15)/2)*(x-((145^(1/2)-15)/2)))/x = 0 // * x
(x+(145^(1/2)+15)/2)*(x-((145^(1/2)-15)/2)) = 0
( x+(145^(1/2)+15)/2 )
x+(145^(1/2)+15)/2 = 0 // - (145^(1/2)+15)/2
x = -((145^(1/2)+15)/2)
( x-((145^(1/2)-15)/2) )
x-((145^(1/2)-15)/2) = 0 // + (145^(1/2)-15)/2
x = (145^(1/2)-15)/2
x in { -((145^(1/2)+15)/2), (145^(1/2)-15)/2 }
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