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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5*x^2-(18*x)+10)/x-3 = 0
(5*x^2-18*x+10)/x-3 = 0
(5*x^2-18*x+10)/x+(-3*x)/x = 0
5*x^2-18*x-3*x+10 = 0
5*x^2-21*x+10 = 0
5*x^2-21*x+10 = 0
5*x^2-21*x+10 = 0
DELTA = (-21)^2-(4*5*10)
DELTA = 241
DELTA > 0
x = (241^(1/2)+21)/(2*5) or x = (21-241^(1/2))/(2*5)
x = (241^(1/2)+21)/10 or x = (21-241^(1/2))/10
(x-((21-241^(1/2))/10))*(x-((241^(1/2)+21)/10)) = 0
((x-((21-241^(1/2))/10))*(x-((241^(1/2)+21)/10)))/x = 0
((x-((21-241^(1/2))/10))*(x-((241^(1/2)+21)/10)))/x = 0 // * x
(x-((21-241^(1/2))/10))*(x-((241^(1/2)+21)/10)) = 0
( x-((21-241^(1/2))/10) )
x-((21-241^(1/2))/10) = 0 // + (21-241^(1/2))/10
x = (21-241^(1/2))/10
( x-((241^(1/2)+21)/10) )
x-((241^(1/2)+21)/10) = 0 // + (241^(1/2)+21)/10
x = (241^(1/2)+21)/10
x in { (21-241^(1/2))/10, (241^(1/2)+21)/10 }
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